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Finding the Third Proportional to 186,262 and 402,284

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Solution

The third proportional to 186,262 and 402,284 is: 868,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,262 : 402,284 = 402,284 : x
  2. Step 2: Convert to fraction form
    186,262/402,284 = 402,284/x
  3. Step 3: Cross multiply
    186,262x = 402,284 × 402,284
  4. Step 4: Simplify right side
    186,262x = 161,832,416,656
  5. Step 5: Solve for x
    x = 161,832,416,656/186,262
  6. Step 6: Final answer
    x = 868,842.90

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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.