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Finding the Third Proportional to 157,744.50 and 221,342.25

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Solution

The third proportional to 157,744.50 and 221,342.25 is: 310,580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,744.50 : 221,342.25 = 221,342.25 : x
  2. Step 2: Convert to fraction form
    157,744.50/221,342.25 = 221,342.25/x
  3. Step 3: Cross multiply
    157,744.50x = 221,342.25 × 221,342.25
  4. Step 4: Simplify right side
    157,744.50x = 48,992,391,635.06
  5. Step 5: Solve for x
    x = 48,992,391,635.06/157,744.50
  6. Step 6: Final answer
    x = 310,580.66

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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.