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Finding the Third Proportional to 156,787.50 and 235,534.50

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Solution

The third proportional to 156,787.50 and 235,534.50 is: 353,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,787.50 : 235,534.50 = 235,534.50 : x
  2. Step 2: Convert to fraction form
    156,787.50/235,534.50 = 235,534.50/x
  3. Step 3: Cross multiply
    156,787.50x = 235,534.50 × 235,534.50
  4. Step 4: Simplify right side
    156,787.50x = 55,476,500,690.25
  5. Step 5: Solve for x
    x = 55,476,500,690.25/156,787.50
  6. Step 6: Final answer
    x = 353,832.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.