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Finding the Third Proportional to 242,586 and 347,361

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Solution

The third proportional to 242,586 and 347,361 is: 497,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,586 : 347,361 = 347,361 : x
  2. Step 2: Convert to fraction form
    242,586/347,361 = 347,361/x
  3. Step 3: Cross multiply
    242,586x = 347,361 × 347,361
  4. Step 4: Simplify right side
    242,586x = 120,659,664,321
  5. Step 5: Solve for x
    x = 120,659,664,321/242,586
  6. Step 6: Final answer
    x = 497,389.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.