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Finding the Third Proportional to 129,359 and 282,765.50

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Solution

The third proportional to 129,359 and 282,765.50 is: 618,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,359 : 282,765.50 = 282,765.50 : x
  2. Step 2: Convert to fraction form
    129,359/282,765.50 = 282,765.50/x
  3. Step 3: Cross multiply
    129,359x = 282,765.50 × 282,765.50
  4. Step 4: Simplify right side
    129,359x = 79,956,327,990.25
  5. Step 5: Solve for x
    x = 79,956,327,990.25/129,359
  6. Step 6: Final answer
    x = 618,096.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.