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Finding the Third Proportional to 161,257.50 and 225,585

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Solution

The third proportional to 161,257.50 and 225,585 is: 315,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,257.50 : 225,585 = 225,585 : x
  2. Step 2: Convert to fraction form
    161,257.50/225,585 = 225,585/x
  3. Step 3: Cross multiply
    161,257.50x = 225,585 × 225,585
  4. Step 4: Simplify right side
    161,257.50x = 50,888,592,225
  5. Step 5: Solve for x
    x = 50,888,592,225/161,257.50
  6. Step 6: Final answer
    x = 315,573.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.