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Finding the Third Proportional to 243,400.50 and 363,073.50

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Solution

The third proportional to 243,400.50 and 363,073.50 is: 541,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,400.50 : 363,073.50 = 363,073.50 : x
  2. Step 2: Convert to fraction form
    243,400.50/363,073.50 = 363,073.50/x
  3. Step 3: Cross multiply
    243,400.50x = 363,073.50 × 363,073.50
  4. Step 4: Simplify right side
    243,400.50x = 131,822,366,402.25
  5. Step 5: Solve for x
    x = 131,822,366,402.25/243,400.50
  6. Step 6: Final answer
    x = 541,586.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.