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Finding the Third Proportional to 157,651.50 and 345,963

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Solution

The third proportional to 157,651.50 and 345,963 is: 759,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,651.50 : 345,963 = 345,963 : x
  2. Step 2: Convert to fraction form
    157,651.50/345,963 = 345,963/x
  3. Step 3: Cross multiply
    157,651.50x = 345,963 × 345,963
  4. Step 4: Simplify right side
    157,651.50x = 119,690,397,369
  5. Step 5: Solve for x
    x = 119,690,397,369/157,651.50
  6. Step 6: Final answer
    x = 759,208.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.