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Finding the Third Proportional to 151,586 and 235,371

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Solution

The third proportional to 151,586 and 235,371 is: 365,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,586 : 235,371 = 235,371 : x
  2. Step 2: Convert to fraction form
    151,586/235,371 = 235,371/x
  3. Step 3: Cross multiply
    151,586x = 235,371 × 235,371
  4. Step 4: Simplify right side
    151,586x = 55,399,507,641
  5. Step 5: Solve for x
    x = 55,399,507,641/151,586
  6. Step 6: Final answer
    x = 365,465.86

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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.