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Finding the Third Proportional to 186,306 and 402,258

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Solution

The third proportional to 186,306 and 402,258 is: 868,525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,306 : 402,258 = 402,258 : x
  2. Step 2: Convert to fraction form
    186,306/402,258 = 402,258/x
  3. Step 3: Cross multiply
    186,306x = 402,258 × 402,258
  4. Step 4: Simplify right side
    186,306x = 161,811,498,564
  5. Step 5: Solve for x
    x = 161,811,498,564/186,306
  6. Step 6: Final answer
    x = 868,525.43

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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.