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Finding the Third Proportional to 186,329.25 and 402,162.63

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Solution

The third proportional to 186,329.25 and 402,162.63 is: 868,005.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,329.25 : 402,162.63 = 402,162.63 : x
  2. Step 2: Convert to fraction form
    186,329.25/402,162.63 = 402,162.63/x
  3. Step 3: Cross multiply
    186,329.25x = 402,162.63 × 402,162.63
  4. Step 4: Simplify right side
    186,329.25x = 161,734,776,946.89
  5. Step 5: Solve for x
    x = 161,734,776,946.89/186,329.25
  6. Step 6: Final answer
    x = 868,005.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.