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Finding the Third Proportional to 186,688 and 283,493

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Solution

The third proportional to 186,688 and 283,493 is: 430,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,688 : 283,493 = 283,493 : x
  2. Step 2: Convert to fraction form
    186,688/283,493 = 283,493/x
  3. Step 3: Cross multiply
    186,688x = 283,493 × 283,493
  4. Step 4: Simplify right side
    186,688x = 80,368,281,049
  5. Step 5: Solve for x
    x = 80,368,281,049/186,688
  6. Step 6: Final answer
    x = 430,495.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.