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Finding the Third Proportional to 215,127 and 341,673

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Solution

The third proportional to 215,127 and 341,673 is: 542,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,127 : 341,673 = 341,673 : x
  2. Step 2: Convert to fraction form
    215,127/341,673 = 341,673/x
  3. Step 3: Cross multiply
    215,127x = 341,673 × 341,673
  4. Step 4: Simplify right side
    215,127x = 116,740,438,929
  5. Step 5: Solve for x
    x = 116,740,438,929/215,127
  6. Step 6: Final answer
    x = 542,658.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.