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Finding the Third Proportional to 186,256.13 and 404,920.69

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Solution

The third proportional to 186,256.13 and 404,920.69 is: 880,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,256.13 : 404,920.69 = 404,920.69 : x
  2. Step 2: Convert to fraction form
    186,256.13/404,920.69 = 404,920.69/x
  3. Step 3: Cross multiply
    186,256.13x = 404,920.69 × 404,920.69
  4. Step 4: Simplify right side
    186,256.13x = 163,960,763,165.47
  5. Step 5: Solve for x
    x = 163,960,763,165.47/186,256.13
  6. Step 6: Final answer
    x = 880,297.30

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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.