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Finding the Third Proportional to 163,098 and 250,767

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Solution

The third proportional to 163,098 and 250,767 is: 385,560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,098 : 250,767 = 250,767 : x
  2. Step 2: Convert to fraction form
    163,098/250,767 = 250,767/x
  3. Step 3: Cross multiply
    163,098x = 250,767 × 250,767
  4. Step 4: Simplify right side
    163,098x = 62,884,088,289
  5. Step 5: Solve for x
    x = 62,884,088,289/163,098
  6. Step 6: Final answer
    x = 385,560.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.