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Finding the Third Proportional to 255,301.31 and 346,897.13

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Solution

The third proportional to 255,301.31 and 346,897.13 is: 471,355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,301.31 : 346,897.13 = 346,897.13 : x
  2. Step 2: Convert to fraction form
    255,301.31/346,897.13 = 346,897.13/x
  3. Step 3: Cross multiply
    255,301.31x = 346,897.13 × 346,897.13
  4. Step 4: Simplify right side
    255,301.31x = 120,337,615,333.27
  5. Step 5: Solve for x
    x = 120,337,615,333.27/255,301.31
  6. Step 6: Final answer
    x = 471,355.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.