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Finding the Third Proportional to 156,700.50 and 235,050

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Solution

The third proportional to 156,700.50 and 235,050 is: 352,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,700.50 : 235,050 = 235,050 : x
  2. Step 2: Convert to fraction form
    156,700.50/235,050 = 235,050/x
  3. Step 3: Cross multiply
    156,700.50x = 235,050 × 235,050
  4. Step 4: Simplify right side
    156,700.50x = 55,248,502,500
  5. Step 5: Solve for x
    x = 55,248,502,500/156,700.50
  6. Step 6: Final answer
    x = 352,573.88

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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.