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Finding the Third Proportional to 144,082 and 316,188

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Solution

The third proportional to 144,082 and 316,188 is: 693,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,082 : 316,188 = 316,188 : x
  2. Step 2: Convert to fraction form
    144,082/316,188 = 316,188/x
  3. Step 3: Cross multiply
    144,082x = 316,188 × 316,188
  4. Step 4: Simplify right side
    144,082x = 99,974,851,344
  5. Step 5: Solve for x
    x = 99,974,851,344/144,082
  6. Step 6: Final answer
    x = 693,874.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.