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Finding the Third Proportional to 332,108.25 and 502,094.25

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Solution

The third proportional to 332,108.25 and 502,094.25 is: 759,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,108.25 : 502,094.25 = 502,094.25 : x
  2. Step 2: Convert to fraction form
    332,108.25/502,094.25 = 502,094.25/x
  3. Step 3: Cross multiply
    332,108.25x = 502,094.25 × 502,094.25
  4. Step 4: Simplify right side
    332,108.25x = 252,098,635,883.06
  5. Step 5: Solve for x
    x = 252,098,635,883.06/332,108.25
  6. Step 6: Final answer
    x = 759,085.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.