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Finding the Third Proportional to 186,272 and 295,082

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Solution

The third proportional to 186,272 and 295,082 is: 467,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,272 : 295,082 = 295,082 : x
  2. Step 2: Convert to fraction form
    186,272/295,082 = 295,082/x
  3. Step 3: Cross multiply
    186,272x = 295,082 × 295,082
  4. Step 4: Simplify right side
    186,272x = 87,073,386,724
  5. Step 5: Solve for x
    x = 87,073,386,724/186,272
  6. Step 6: Final answer
    x = 467,452.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.