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Finding the Third Proportional to 185,051 and 403,393

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Solution

The third proportional to 185,051 and 403,393 is: 879,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,051 : 403,393 = 403,393 : x
  2. Step 2: Convert to fraction form
    185,051/403,393 = 403,393/x
  3. Step 3: Cross multiply
    185,051x = 403,393 × 403,393
  4. Step 4: Simplify right side
    185,051x = 162,725,912,449
  5. Step 5: Solve for x
    x = 162,725,912,449/185,051
  6. Step 6: Final answer
    x = 879,357.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.