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Finding the Third Proportional to 186,261.19 and 402,287.34

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Solution

The third proportional to 186,261.19 and 402,287.34 is: 868,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,261.19 : 402,287.34 = 402,287.34 : x
  2. Step 2: Convert to fraction form
    186,261.19/402,287.34 = 402,287.34/x
  3. Step 3: Cross multiply
    186,261.19x = 402,287.34 × 402,287.34
  4. Step 4: Simplify right side
    186,261.19x = 161,835,106,941.43
  5. Step 5: Solve for x
    x = 161,835,106,941.43/186,261.19
  6. Step 6: Final answer
    x = 868,861.14

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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.