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Finding the Third Proportional to 149,662 and 232,364

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Solution

The third proportional to 149,662 and 232,364 is: 360,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,662 : 232,364 = 232,364 : x
  2. Step 2: Convert to fraction form
    149,662/232,364 = 232,364/x
  3. Step 3: Cross multiply
    149,662x = 232,364 × 232,364
  4. Step 4: Simplify right side
    149,662x = 53,993,028,496
  5. Step 5: Solve for x
    x = 53,993,028,496/149,662
  6. Step 6: Final answer
    x = 360,766.45

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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.