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Finding the Third Proportional to 152,020 and 351,891

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Solution

The third proportional to 152,020 and 351,891 is: 814,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,020 : 351,891 = 351,891 : x
  2. Step 2: Convert to fraction form
    152,020/351,891 = 351,891/x
  3. Step 3: Cross multiply
    152,020x = 351,891 × 351,891
  4. Step 4: Simplify right side
    152,020x = 123,827,275,881
  5. Step 5: Solve for x
    x = 123,827,275,881/152,020
  6. Step 6: Final answer
    x = 814,545.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.