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Finding the Third Proportional to 243,770 and 376,710

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Solution

The third proportional to 243,770 and 376,710 is: 582,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,770 : 376,710 = 376,710 : x
  2. Step 2: Convert to fraction form
    243,770/376,710 = 376,710/x
  3. Step 3: Cross multiply
    243,770x = 376,710 × 376,710
  4. Step 4: Simplify right side
    243,770x = 141,910,424,100
  5. Step 5: Solve for x
    x = 141,910,424,100/243,770
  6. Step 6: Final answer
    x = 582,148.85

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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.