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Finding the Third Proportional to 250,062.19 and 546,051.38

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Solution

The third proportional to 250,062.19 and 546,051.38 is: 1,192,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,062.19 : 546,051.38 = 546,051.38 : x
  2. Step 2: Convert to fraction form
    250,062.19/546,051.38 = 546,051.38/x
  3. Step 3: Cross multiply
    250,062.19x = 546,051.38 × 546,051.38
  4. Step 4: Simplify right side
    250,062.19x = 298,172,104,139.39
  5. Step 5: Solve for x
    x = 298,172,104,139.39/250,062.19
  6. Step 6: Final answer
    x = 1,192,391.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.