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Finding the Third Proportional to 156,714.38 and 235,069.88

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Solution

The third proportional to 156,714.38 and 235,069.88 is: 352,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,714.38 : 235,069.88 = 235,069.88 : x
  2. Step 2: Convert to fraction form
    156,714.38/235,069.88 = 235,069.88/x
  3. Step 3: Cross multiply
    156,714.38x = 235,069.88 × 235,069.88
  4. Step 4: Simplify right side
    156,714.38x = 55,257,846,132.52
  5. Step 5: Solve for x
    x = 55,257,846,132.52/156,714.38
  6. Step 6: Final answer
    x = 352,602.28

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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.