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Finding the Third Proportional to 186,326.16 and 402,176.81

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Solution

The third proportional to 186,326.16 and 402,176.81 is: 868,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,326.16 : 402,176.81 = 402,176.81 : x
  2. Step 2: Convert to fraction form
    186,326.16/402,176.81 = 402,176.81/x
  3. Step 3: Cross multiply
    186,326.16x = 402,176.81 × 402,176.81
  4. Step 4: Simplify right side
    186,326.16x = 161,746,188,512.66
  5. Step 5: Solve for x
    x = 161,746,188,512.66/186,326.16
  6. Step 6: Final answer
    x = 868,080.96

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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.