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Finding the Third Proportional to 186,358 and 402,223

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Solution

The third proportional to 186,358 and 402,223 is: 868,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,358 : 402,223 = 402,223 : x
  2. Step 2: Convert to fraction form
    186,358/402,223 = 402,223/x
  3. Step 3: Cross multiply
    186,358x = 402,223 × 402,223
  4. Step 4: Simplify right side
    186,358x = 161,783,341,729
  5. Step 5: Solve for x
    x = 161,783,341,729/186,358
  6. Step 6: Final answer
    x = 868,131.99

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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.