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Finding the Third Proportional to 149,985 and 232,146

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Solution

The third proportional to 149,985 and 232,146 is: 359,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,985 : 232,146 = 232,146 : x
  2. Step 2: Convert to fraction form
    149,985/232,146 = 232,146/x
  3. Step 3: Cross multiply
    149,985x = 232,146 × 232,146
  4. Step 4: Simplify right side
    149,985x = 53,891,765,316
  5. Step 5: Solve for x
    x = 53,891,765,316/149,985
  6. Step 6: Final answer
    x = 359,314.37

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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.