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Finding the Third Proportional to 130,414.22 and 278,051.06

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Solution

The third proportional to 130,414.22 and 278,051.06 is: 592,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,414.22 : 278,051.06 = 278,051.06 : x
  2. Step 2: Convert to fraction form
    130,414.22/278,051.06 = 278,051.06/x
  3. Step 3: Cross multiply
    130,414.22x = 278,051.06 × 278,051.06
  4. Step 4: Simplify right side
    130,414.22x = 77,312,393,357.38
  5. Step 5: Solve for x
    x = 77,312,393,357.38/130,414.22
  6. Step 6: Final answer
    x = 592,821.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.