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Finding the Third Proportional to 139,444 and 215,464

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Solution

The third proportional to 139,444 and 215,464 is: 332,927.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,444 : 215,464 = 215,464 : x
  2. Step 2: Convert to fraction form
    139,444/215,464 = 215,464/x
  3. Step 3: Cross multiply
    139,444x = 215,464 × 215,464
  4. Step 4: Simplify right side
    139,444x = 46,424,735,296
  5. Step 5: Solve for x
    x = 46,424,735,296/139,444
  6. Step 6: Final answer
    x = 332,927.45

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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.