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Finding the Third Proportional to 186,307 and 402,124

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Solution

The third proportional to 186,307 and 402,124 is: 867,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,307 : 402,124 = 402,124 : x
  2. Step 2: Convert to fraction form
    186,307/402,124 = 402,124/x
  3. Step 3: Cross multiply
    186,307x = 402,124 × 402,124
  4. Step 4: Simplify right side
    186,307x = 161,703,711,376
  5. Step 5: Solve for x
    x = 161,703,711,376/186,307
  6. Step 6: Final answer
    x = 867,942.22

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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.