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Finding the Third Proportional to 186,261 and 402,282

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Solution

The third proportional to 186,261 and 402,282 is: 868,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,261 : 402,282 = 402,282 : x
  2. Step 2: Convert to fraction form
    186,261/402,282 = 402,282/x
  3. Step 3: Cross multiply
    186,261x = 402,282 × 402,282
  4. Step 4: Simplify right side
    186,261x = 161,830,807,524
  5. Step 5: Solve for x
    x = 161,830,807,524/186,261
  6. Step 6: Final answer
    x = 868,838.93

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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.