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Finding the Third Proportional to 152,214 and 242,414

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Solution

The third proportional to 152,214 and 242,414 is: 386,065.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,214 : 242,414 = 242,414 : x
  2. Step 2: Convert to fraction form
    152,214/242,414 = 242,414/x
  3. Step 3: Cross multiply
    152,214x = 242,414 × 242,414
  4. Step 4: Simplify right side
    152,214x = 58,764,547,396
  5. Step 5: Solve for x
    x = 58,764,547,396/152,214
  6. Step 6: Final answer
    x = 386,065.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.