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Finding the Third Proportional to 161,432 and 242,724

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Solution

The third proportional to 161,432 and 242,724 is: 364,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,432 : 242,724 = 242,724 : x
  2. Step 2: Convert to fraction form
    161,432/242,724 = 242,724/x
  3. Step 3: Cross multiply
    161,432x = 242,724 × 242,724
  4. Step 4: Simplify right side
    161,432x = 58,914,940,176
  5. Step 5: Solve for x
    x = 58,914,940,176/161,432
  6. Step 6: Final answer
    x = 364,952.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.