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Finding the Third Proportional to 153,065 and 230,181

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Solution

The third proportional to 153,065 and 230,181 is: 346,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,065 : 230,181 = 230,181 : x
  2. Step 2: Convert to fraction form
    153,065/230,181 = 230,181/x
  3. Step 3: Cross multiply
    153,065x = 230,181 × 230,181
  4. Step 4: Simplify right side
    153,065x = 52,983,292,761
  5. Step 5: Solve for x
    x = 52,983,292,761/153,065
  6. Step 6: Final answer
    x = 346,148.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.