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Finding the Third Proportional to 119,893.50 and 243,330.75

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Solution

The third proportional to 119,893.50 and 243,330.75 is: 493,853.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,893.50 : 243,330.75 = 243,330.75 : x
  2. Step 2: Convert to fraction form
    119,893.50/243,330.75 = 243,330.75/x
  3. Step 3: Cross multiply
    119,893.50x = 243,330.75 × 243,330.75
  4. Step 4: Simplify right side
    119,893.50x = 59,209,853,895.56
  5. Step 5: Solve for x
    x = 59,209,853,895.56/119,893.50
  6. Step 6: Final answer
    x = 493,853.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.