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Finding the Third Proportional to 261,823.22 and 400,349.88

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Solution

The third proportional to 261,823.22 and 400,349.88 is: 612,168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,823.22 : 400,349.88 = 400,349.88 : x
  2. Step 2: Convert to fraction form
    261,823.22/400,349.88 = 400,349.88/x
  3. Step 3: Cross multiply
    261,823.22x = 400,349.88 × 400,349.88
  4. Step 4: Simplify right side
    261,823.22x = 160,280,028,667.98
  5. Step 5: Solve for x
    x = 160,280,028,667.98/261,823.22
  6. Step 6: Final answer
    x = 612,168.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.