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Finding the Third Proportional to 186,982 and 290,078

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Solution

The third proportional to 186,982 and 290,078 is: 450,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,982 : 290,078 = 290,078 : x
  2. Step 2: Convert to fraction form
    186,982/290,078 = 290,078/x
  3. Step 3: Cross multiply
    186,982x = 290,078 × 290,078
  4. Step 4: Simplify right side
    186,982x = 84,145,246,084
  5. Step 5: Solve for x
    x = 84,145,246,084/186,982
  6. Step 6: Final answer
    x = 450,017.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.