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Finding the Third Proportional to 250,269.75 and 539,905.50

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Solution

The third proportional to 250,269.75 and 539,905.50 is: 1,164,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,269.75 : 539,905.50 = 539,905.50 : x
  2. Step 2: Convert to fraction form
    250,269.75/539,905.50 = 539,905.50/x
  3. Step 3: Cross multiply
    250,269.75x = 539,905.50 × 539,905.50
  4. Step 4: Simplify right side
    250,269.75x = 291,497,948,930.25
  5. Step 5: Solve for x
    x = 291,497,948,930.25/250,269.75
  6. Step 6: Final answer
    x = 1,164,735.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.