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Finding the Third Proportional to 157,745 and 229,416.50

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Solution

The third proportional to 157,745 and 229,416.50 is: 333,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,745 : 229,416.50 = 229,416.50 : x
  2. Step 2: Convert to fraction form
    157,745/229,416.50 = 229,416.50/x
  3. Step 3: Cross multiply
    157,745x = 229,416.50 × 229,416.50
  4. Step 4: Simplify right side
    157,745x = 52,631,930,472.25
  5. Step 5: Solve for x
    x = 52,631,930,472.25/157,745
  6. Step 6: Final answer
    x = 333,651.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.