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Finding the Third Proportional to 156,785.50 and 235,531.50

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Solution

The third proportional to 156,785.50 and 235,531.50 is: 353,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,785.50 : 235,531.50 = 235,531.50 : x
  2. Step 2: Convert to fraction form
    156,785.50/235,531.50 = 235,531.50/x
  3. Step 3: Cross multiply
    156,785.50x = 235,531.50 × 235,531.50
  4. Step 4: Simplify right side
    156,785.50x = 55,475,087,492.25
  5. Step 5: Solve for x
    x = 55,475,087,492.25/156,785.50
  6. Step 6: Final answer
    x = 353,827.92

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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.