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Finding the Third Proportional to 142,444 and 221,442

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Solution

The third proportional to 142,444 and 221,442 is: 344,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,444 : 221,442 = 221,442 : x
  2. Step 2: Convert to fraction form
    142,444/221,442 = 221,442/x
  3. Step 3: Cross multiply
    142,444x = 221,442 × 221,442
  4. Step 4: Simplify right side
    142,444x = 49,036,559,364
  5. Step 5: Solve for x
    x = 49,036,559,364/142,444
  6. Step 6: Final answer
    x = 344,251.49

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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.