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Finding the Third Proportional to 243,702 and 376,614

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Solution

The third proportional to 243,702 and 376,614 is: 582,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,702 : 376,614 = 376,614 : x
  2. Step 2: Convert to fraction form
    243,702/376,614 = 376,614/x
  3. Step 3: Cross multiply
    243,702x = 376,614 × 376,614
  4. Step 4: Simplify right side
    243,702x = 141,838,104,996
  5. Step 5: Solve for x
    x = 141,838,104,996/243,702
  6. Step 6: Final answer
    x = 582,014.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.