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Finding the Third Proportional to 70,708 and 152,486

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Solution

The third proportional to 70,708 and 152,486 is: 328,845.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,708 : 152,486 = 152,486 : x
  2. Step 2: Convert to fraction form
    70,708/152,486 = 152,486/x
  3. Step 3: Cross multiply
    70,708x = 152,486 × 152,486
  4. Step 4: Simplify right side
    70,708x = 23,251,980,196
  5. Step 5: Solve for x
    x = 23,251,980,196/70,708
  6. Step 6: Final answer
    x = 328,845.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.