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Finding the Third Proportional to 185,340 and 404,669

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Solution

The third proportional to 185,340 and 404,669 is: 883,549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,340 : 404,669 = 404,669 : x
  2. Step 2: Convert to fraction form
    185,340/404,669 = 404,669/x
  3. Step 3: Cross multiply
    185,340x = 404,669 × 404,669
  4. Step 4: Simplify right side
    185,340x = 163,756,999,561
  5. Step 5: Solve for x
    x = 163,756,999,561/185,340
  6. Step 6: Final answer
    x = 883,549.15

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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.