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Finding the Third Proportional to 215,827 and 341,499

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Solution

The third proportional to 215,827 and 341,499 is: 540,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,827 : 341,499 = 341,499 : x
  2. Step 2: Convert to fraction form
    215,827/341,499 = 341,499/x
  3. Step 3: Cross multiply
    215,827x = 341,499 × 341,499
  4. Step 4: Simplify right side
    215,827x = 116,621,567,001
  5. Step 5: Solve for x
    x = 116,621,567,001/215,827
  6. Step 6: Final answer
    x = 540,347.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.