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Finding the Third Proportional to 144,362.25 and 232,581.38

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Solution

The third proportional to 144,362.25 and 232,581.38 is: 374,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,362.25 : 232,581.38 = 232,581.38 : x
  2. Step 2: Convert to fraction form
    144,362.25/232,581.38 = 232,581.38/x
  3. Step 3: Cross multiply
    144,362.25x = 232,581.38 × 232,581.38
  4. Step 4: Simplify right side
    144,362.25x = 54,094,095,996.89
  5. Step 5: Solve for x
    x = 54,094,095,996.89/144,362.25
  6. Step 6: Final answer
    x = 374,710.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.