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Finding the Third Proportional to 152,776 and 328,957

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Solution

The third proportional to 152,776 and 328,957 is: 708,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,776 : 328,957 = 328,957 : x
  2. Step 2: Convert to fraction form
    152,776/328,957 = 328,957/x
  3. Step 3: Cross multiply
    152,776x = 328,957 × 328,957
  4. Step 4: Simplify right side
    152,776x = 108,212,707,849
  5. Step 5: Solve for x
    x = 108,212,707,849/152,776
  6. Step 6: Final answer
    x = 708,309.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.