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Finding the Third Proportional to 134,624 and 208,428

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Solution

The third proportional to 134,624 and 208,428 is: 322,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,624 : 208,428 = 208,428 : x
  2. Step 2: Convert to fraction form
    134,624/208,428 = 208,428/x
  3. Step 3: Cross multiply
    134,624x = 208,428 × 208,428
  4. Step 4: Simplify right side
    134,624x = 43,442,231,184
  5. Step 5: Solve for x
    x = 43,442,231,184/134,624
  6. Step 6: Final answer
    x = 322,693.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.