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Finding the Third Proportional to 250,242 and 377,523

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Solution

The third proportional to 250,242 and 377,523 is: 569,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,242 : 377,523 = 377,523 : x
  2. Step 2: Convert to fraction form
    250,242/377,523 = 377,523/x
  3. Step 3: Cross multiply
    250,242x = 377,523 × 377,523
  4. Step 4: Simplify right side
    250,242x = 142,523,615,529
  5. Step 5: Solve for x
    x = 142,523,615,529/250,242
  6. Step 6: Final answer
    x = 569,543.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.