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Finding the Third Proportional to 152,808 and 328,188

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Solution

The third proportional to 152,808 and 328,188 is: 704,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,808 : 328,188 = 328,188 : x
  2. Step 2: Convert to fraction form
    152,808/328,188 = 328,188/x
  3. Step 3: Cross multiply
    152,808x = 328,188 × 328,188
  4. Step 4: Simplify right side
    152,808x = 107,707,363,344
  5. Step 5: Solve for x
    x = 107,707,363,344/152,808
  6. Step 6: Final answer
    x = 704,854.22

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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.