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Finding the Third Proportional to 185,049 and 403,389

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Solution

The third proportional to 185,049 and 403,389 is: 879,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,049 : 403,389 = 403,389 : x
  2. Step 2: Convert to fraction form
    185,049/403,389 = 403,389/x
  3. Step 3: Cross multiply
    185,049x = 403,389 × 403,389
  4. Step 4: Simplify right side
    185,049x = 162,722,685,321
  5. Step 5: Solve for x
    x = 162,722,685,321/185,049
  6. Step 6: Final answer
    x = 879,349.17

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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.