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Finding the Third Proportional to 243,204 and 365,584

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Solution

The third proportional to 243,204 and 365,584 is: 549,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,204 : 365,584 = 365,584 : x
  2. Step 2: Convert to fraction form
    243,204/365,584 = 365,584/x
  3. Step 3: Cross multiply
    243,204x = 365,584 × 365,584
  4. Step 4: Simplify right side
    243,204x = 133,651,661,056
  5. Step 5: Solve for x
    x = 133,651,661,056/243,204
  6. Step 6: Final answer
    x = 549,545.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.