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Finding the Third Proportional to 157,963.50 and 340,836.75

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Solution

The third proportional to 157,963.50 and 340,836.75 is: 735,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,963.50 : 340,836.75 = 340,836.75 : x
  2. Step 2: Convert to fraction form
    157,963.50/340,836.75 = 340,836.75/x
  3. Step 3: Cross multiply
    157,963.50x = 340,836.75 × 340,836.75
  4. Step 4: Simplify right side
    157,963.50x = 116,169,690,150.56
  5. Step 5: Solve for x
    x = 116,169,690,150.56/157,963.50
  6. Step 6: Final answer
    x = 735,421.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.