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Finding the Third Proportional to 139,428 and 215,440

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Solution

The third proportional to 139,428 and 215,440 is: 332,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,428 : 215,440 = 215,440 : x
  2. Step 2: Convert to fraction form
    139,428/215,440 = 215,440/x
  3. Step 3: Cross multiply
    139,428x = 215,440 × 215,440
  4. Step 4: Simplify right side
    139,428x = 46,414,393,600
  5. Step 5: Solve for x
    x = 46,414,393,600/139,428
  6. Step 6: Final answer
    x = 332,891.48

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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.