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Finding the Third Proportional to 134,402 and 286,468

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Solution

The third proportional to 134,402 and 286,468 is: 610,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,402 : 286,468 = 286,468 : x
  2. Step 2: Convert to fraction form
    134,402/286,468 = 286,468/x
  3. Step 3: Cross multiply
    134,402x = 286,468 × 286,468
  4. Step 4: Simplify right side
    134,402x = 82,063,915,024
  5. Step 5: Solve for x
    x = 82,063,915,024/134,402
  6. Step 6: Final answer
    x = 610,585.52

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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.