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Finding the Third Proportional to 185,262 and 403,659

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Solution

The third proportional to 185,262 and 403,659 is: 879,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,262 : 403,659 = 403,659 : x
  2. Step 2: Convert to fraction form
    185,262/403,659 = 403,659/x
  3. Step 3: Cross multiply
    185,262x = 403,659 × 403,659
  4. Step 4: Simplify right side
    185,262x = 162,940,588,281
  5. Step 5: Solve for x
    x = 162,940,588,281/185,262
  6. Step 6: Final answer
    x = 879,514.35

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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.