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Finding the Third Proportional to 157,761 and 344,432.25

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Solution

The third proportional to 157,761 and 344,432.25 is: 751,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,761 : 344,432.25 = 344,432.25 : x
  2. Step 2: Convert to fraction form
    157,761/344,432.25 = 344,432.25/x
  3. Step 3: Cross multiply
    157,761x = 344,432.25 × 344,432.25
  4. Step 4: Simplify right side
    157,761x = 118,633,574,840.06
  5. Step 5: Solve for x
    x = 118,633,574,840.06/157,761
  6. Step 6: Final answer
    x = 751,982.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.