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Finding the Third Proportional to 144,540 and 222,442

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Solution

The third proportional to 144,540 and 222,442 is: 342,330.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,540 : 222,442 = 222,442 : x
  2. Step 2: Convert to fraction form
    144,540/222,442 = 222,442/x
  3. Step 3: Cross multiply
    144,540x = 222,442 × 222,442
  4. Step 4: Simplify right side
    144,540x = 49,480,443,364
  5. Step 5: Solve for x
    x = 49,480,443,364/144,540
  6. Step 6: Final answer
    x = 342,330.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.