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Finding the Third Proportional to 150,210 and 232,506

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Solution

The third proportional to 150,210 and 232,506 is: 359,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,210 : 232,506 = 232,506 : x
  2. Step 2: Convert to fraction form
    150,210/232,506 = 232,506/x
  3. Step 3: Cross multiply
    150,210x = 232,506 × 232,506
  4. Step 4: Simplify right side
    150,210x = 54,059,040,036
  5. Step 5: Solve for x
    x = 54,059,040,036/150,210
  6. Step 6: Final answer
    x = 359,889.75

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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.