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Finding the Third Proportional to 185,370 and 404,720

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Solution

The third proportional to 185,370 and 404,720 is: 883,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,370 : 404,720 = 404,720 : x
  2. Step 2: Convert to fraction form
    185,370/404,720 = 404,720/x
  3. Step 3: Cross multiply
    185,370x = 404,720 × 404,720
  4. Step 4: Simplify right side
    185,370x = 163,798,278,400
  5. Step 5: Solve for x
    x = 163,798,278,400/185,370
  6. Step 6: Final answer
    x = 883,628.84

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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.