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Finding the Third Proportional to 252,330.19 and 359,905.78

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Solution

The third proportional to 252,330.19 and 359,905.78 is: 513,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,330.19 : 359,905.78 = 359,905.78 : x
  2. Step 2: Convert to fraction form
    252,330.19/359,905.78 = 359,905.78/x
  3. Step 3: Cross multiply
    252,330.19x = 359,905.78 × 359,905.78
  4. Step 4: Simplify right side
    252,330.19x = 129,532,171,377.17
  5. Step 5: Solve for x
    x = 129,532,171,377.17/252,330.19
  6. Step 6: Final answer
    x = 513,343.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.