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Finding the Third Proportional to 157,695.50 and 235,890

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Solution

The third proportional to 157,695.50 and 235,890 is: 352,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,695.50 : 235,890 = 235,890 : x
  2. Step 2: Convert to fraction form
    157,695.50/235,890 = 235,890/x
  3. Step 3: Cross multiply
    157,695.50x = 235,890 × 235,890
  4. Step 4: Simplify right side
    157,695.50x = 55,644,092,100
  5. Step 5: Solve for x
    x = 55,644,092,100/157,695.50
  6. Step 6: Final answer
    x = 352,857.83

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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.