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Finding the Third Proportional to 186,216 and 404,814

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Solution

The third proportional to 186,216 and 404,814 is: 880,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,216 : 404,814 = 404,814 : x
  2. Step 2: Convert to fraction form
    186,216/404,814 = 404,814/x
  3. Step 3: Cross multiply
    186,216x = 404,814 × 404,814
  4. Step 4: Simplify right side
    186,216x = 163,874,374,596
  5. Step 5: Solve for x
    x = 163,874,374,596/186,216
  6. Step 6: Final answer
    x = 880,023.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.