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Finding the Third Proportional to 156,938 and 345,548

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Solution

The third proportional to 156,938 and 345,548 is: 760,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,938 : 345,548 = 345,548 : x
  2. Step 2: Convert to fraction form
    156,938/345,548 = 345,548/x
  3. Step 3: Cross multiply
    156,938x = 345,548 × 345,548
  4. Step 4: Simplify right side
    156,938x = 119,403,420,304
  5. Step 5: Solve for x
    x = 119,403,420,304/156,938
  6. Step 6: Final answer
    x = 760,831.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.