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Finding the Third Proportional to 152,943 and 359,839

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Solution

The third proportional to 152,943 and 359,839 is: 846,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,943 : 359,839 = 359,839 : x
  2. Step 2: Convert to fraction form
    152,943/359,839 = 359,839/x
  3. Step 3: Cross multiply
    152,943x = 359,839 × 359,839
  4. Step 4: Simplify right side
    152,943x = 129,484,105,921
  5. Step 5: Solve for x
    x = 129,484,105,921/152,943
  6. Step 6: Final answer
    x = 846,616.75

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.