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Finding the Third Proportional to 131,528 and 203,428

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Solution

The third proportional to 131,528 and 203,428 is: 314,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,528 : 203,428 = 203,428 : x
  2. Step 2: Convert to fraction form
    131,528/203,428 = 203,428/x
  3. Step 3: Cross multiply
    131,528x = 203,428 × 203,428
  4. Step 4: Simplify right side
    131,528x = 41,382,951,184
  5. Step 5: Solve for x
    x = 41,382,951,184/131,528
  6. Step 6: Final answer
    x = 314,632.25

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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.