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Finding the Third Proportional to 151,444 and 318,586

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Solution

The third proportional to 151,444 and 318,586 is: 670,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,444 : 318,586 = 318,586 : x
  2. Step 2: Convert to fraction form
    151,444/318,586 = 318,586/x
  3. Step 3: Cross multiply
    151,444x = 318,586 × 318,586
  4. Step 4: Simplify right side
    151,444x = 101,497,039,396
  5. Step 5: Solve for x
    x = 101,497,039,396/151,444
  6. Step 6: Final answer
    x = 670,195.18

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.