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Finding the Third Proportional to 243,391 and 363,061

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Solution

The third proportional to 243,391 and 363,061 is: 541,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,391 : 363,061 = 363,061 : x
  2. Step 2: Convert to fraction form
    243,391/363,061 = 363,061/x
  3. Step 3: Cross multiply
    243,391x = 363,061 × 363,061
  4. Step 4: Simplify right side
    243,391x = 131,813,289,721
  5. Step 5: Solve for x
    x = 131,813,289,721/243,391
  6. Step 6: Final answer
    x = 541,570.11

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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.