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Finding the Third Proportional to 186,328 and 290,562

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Solution

The third proportional to 186,328 and 290,562 is: 453,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,328 : 290,562 = 290,562 : x
  2. Step 2: Convert to fraction form
    186,328/290,562 = 290,562/x
  3. Step 3: Cross multiply
    186,328x = 290,562 × 290,562
  4. Step 4: Simplify right side
    186,328x = 84,426,275,844
  5. Step 5: Solve for x
    x = 84,426,275,844/186,328
  6. Step 6: Final answer
    x = 453,105.68

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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.