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Finding the Third Proportional to 70,708 and 152,484

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Solution

The third proportional to 70,708 and 152,484 is: 328,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,708 : 152,484 = 152,484 : x
  2. Step 2: Convert to fraction form
    70,708/152,484 = 152,484/x
  3. Step 3: Cross multiply
    70,708x = 152,484 × 152,484
  4. Step 4: Simplify right side
    70,708x = 23,251,370,256
  5. Step 5: Solve for x
    x = 23,251,370,256/70,708
  6. Step 6: Final answer
    x = 328,836.49

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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.