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Finding the Third Proportional to 250,143.19 and 546,995.53

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Solution

The third proportional to 250,143.19 and 546,995.53 is: 1,196,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,143.19 : 546,995.53 = 546,995.53 : x
  2. Step 2: Convert to fraction form
    250,143.19/546,995.53 = 546,995.53/x
  3. Step 3: Cross multiply
    250,143.19x = 546,995.53 × 546,995.53
  4. Step 4: Simplify right side
    250,143.19x = 299,204,111,207.47
  5. Step 5: Solve for x
    x = 299,204,111,207.47/250,143.19
  6. Step 6: Final answer
    x = 1,196,131.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.