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Finding the Third Proportional to 186,714 and 403,074

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Solution

The third proportional to 186,714 and 403,074 is: 870,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,714 : 403,074 = 403,074 : x
  2. Step 2: Convert to fraction form
    186,714/403,074 = 403,074/x
  3. Step 3: Cross multiply
    186,714x = 403,074 × 403,074
  4. Step 4: Simplify right side
    186,714x = 162,468,649,476
  5. Step 5: Solve for x
    x = 162,468,649,476/186,714
  6. Step 6: Final answer
    x = 870,147.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.