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Finding the Third Proportional to 70,718 and 152,508

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Solution

The third proportional to 70,718 and 152,508 is: 328,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,718 : 152,508 = 152,508 : x
  2. Step 2: Convert to fraction form
    70,718/152,508 = 152,508/x
  3. Step 3: Cross multiply
    70,718x = 152,508 × 152,508
  4. Step 4: Simplify right side
    70,718x = 23,258,690,064
  5. Step 5: Solve for x
    x = 23,258,690,064/70,718
  6. Step 6: Final answer
    x = 328,893.49

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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.