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Finding the Third Proportional to 159,482 and 345,388

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Solution

The third proportional to 159,482 and 345,388 is: 748,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,482 : 345,388 = 345,388 : x
  2. Step 2: Convert to fraction form
    159,482/345,388 = 345,388/x
  3. Step 3: Cross multiply
    159,482x = 345,388 × 345,388
  4. Step 4: Simplify right side
    159,482x = 119,292,870,544
  5. Step 5: Solve for x
    x = 119,292,870,544/159,482
  6. Step 6: Final answer
    x = 748,002.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.