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Finding the Third Proportional to 100,330.50 and 151,347.75

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Solution

The third proportional to 100,330.50 and 151,347.75 is: 228,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,330.50 : 151,347.75 = 151,347.75 : x
  2. Step 2: Convert to fraction form
    100,330.50/151,347.75 = 151,347.75/x
  3. Step 3: Cross multiply
    100,330.50x = 151,347.75 × 151,347.75
  4. Step 4: Simplify right side
    100,330.50x = 22,906,141,430.06
  5. Step 5: Solve for x
    x = 22,906,141,430.06/100,330.50
  6. Step 6: Final answer
    x = 228,306.86

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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.