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Finding the Third Proportional to 152,644 and 328,616

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Solution

The third proportional to 152,644 and 328,616 is: 707,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,644 : 328,616 = 328,616 : x
  2. Step 2: Convert to fraction form
    152,644/328,616 = 328,616/x
  3. Step 3: Cross multiply
    152,644x = 328,616 × 328,616
  4. Step 4: Simplify right side
    152,644x = 107,988,475,456
  5. Step 5: Solve for x
    x = 107,988,475,456/152,644
  6. Step 6: Final answer
    x = 707,453.13

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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.