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Finding the Third Proportional to 186,020.25 and 403,752

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Solution

The third proportional to 186,020.25 and 403,752 is: 876,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,020.25 : 403,752 = 403,752 : x
  2. Step 2: Convert to fraction form
    186,020.25/403,752 = 403,752/x
  3. Step 3: Cross multiply
    186,020.25x = 403,752 × 403,752
  4. Step 4: Simplify right side
    186,020.25x = 163,015,677,504
  5. Step 5: Solve for x
    x = 163,015,677,504/186,020.25
  6. Step 6: Final answer
    x = 876,332.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.