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Finding the Third Proportional to 186,300 and 402,246

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Solution

The third proportional to 186,300 and 402,246 is: 868,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,300 : 402,246 = 402,246 : x
  2. Step 2: Convert to fraction form
    186,300/402,246 = 402,246/x
  3. Step 3: Cross multiply
    186,300x = 402,246 × 402,246
  4. Step 4: Simplify right side
    186,300x = 161,801,844,516
  5. Step 5: Solve for x
    x = 161,801,844,516/186,300
  6. Step 6: Final answer
    x = 868,501.58

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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.