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Finding the Third Proportional to 186,822 and 290,076

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Solution

The third proportional to 186,822 and 290,076 is: 450,397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,822 : 290,076 = 290,076 : x
  2. Step 2: Convert to fraction form
    186,822/290,076 = 290,076/x
  3. Step 3: Cross multiply
    186,822x = 290,076 × 290,076
  4. Step 4: Simplify right side
    186,822x = 84,144,085,776
  5. Step 5: Solve for x
    x = 84,144,085,776/186,822
  6. Step 6: Final answer
    x = 450,397.09

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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.