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Finding the Third Proportional to 152,212.92 and 328,557.52

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Solution

The third proportional to 152,212.92 and 328,557.52 is: 709,204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,212.92 : 328,557.52 = 328,557.52 : x
  2. Step 2: Convert to fraction form
    152,212.92/328,557.52 = 328,557.52/x
  3. Step 3: Cross multiply
    152,212.92x = 328,557.52 × 328,557.52
  4. Step 4: Simplify right side
    152,212.92x = 107,950,041,073.67
  5. Step 5: Solve for x
    x = 107,950,041,073.67/152,212.92
  6. Step 6: Final answer
    x = 709,204.18

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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.