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Finding the Third Proportional to 186,330 and 290,565

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Solution

The third proportional to 186,330 and 290,565 is: 453,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,330 : 290,565 = 290,565 : x
  2. Step 2: Convert to fraction form
    186,330/290,565 = 290,565/x
  3. Step 3: Cross multiply
    186,330x = 290,565 × 290,565
  4. Step 4: Simplify right side
    186,330x = 84,428,019,225
  5. Step 5: Solve for x
    x = 84,428,019,225/186,330
  6. Step 6: Final answer
    x = 453,110.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.