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Finding the Third Proportional to 152,918 and 359,785

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Solution

The third proportional to 152,918 and 359,785 is: 846,501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,918 : 359,785 = 359,785 : x
  2. Step 2: Convert to fraction form
    152,918/359,785 = 359,785/x
  3. Step 3: Cross multiply
    152,918x = 359,785 × 359,785
  4. Step 4: Simplify right side
    152,918x = 129,445,246,225
  5. Step 5: Solve for x
    x = 129,445,246,225/152,918
  6. Step 6: Final answer
    x = 846,501.04

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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.