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Finding the Third Proportional to 185,018 and 404,275

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Solution

The third proportional to 185,018 and 404,275 is: 883,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,018 : 404,275 = 404,275 : x
  2. Step 2: Convert to fraction form
    185,018/404,275 = 404,275/x
  3. Step 3: Cross multiply
    185,018x = 404,275 × 404,275
  4. Step 4: Simplify right side
    185,018x = 163,438,275,625
  5. Step 5: Solve for x
    x = 163,438,275,625/185,018
  6. Step 6: Final answer
    x = 883,364.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.