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Finding the Third Proportional to 128,349 and 278,082

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Solution

The third proportional to 128,349 and 278,082 is: 602,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,349 : 278,082 = 278,082 : x
  2. Step 2: Convert to fraction form
    128,349/278,082 = 278,082/x
  3. Step 3: Cross multiply
    128,349x = 278,082 × 278,082
  4. Step 4: Simplify right side
    128,349x = 77,329,598,724
  5. Step 5: Solve for x
    x = 77,329,598,724/128,349
  6. Step 6: Final answer
    x = 602,494.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.