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Finding the Third Proportional to 128,354 and 279,082

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Solution

The third proportional to 128,354 and 279,082 is: 606,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,354 : 279,082 = 279,082 : x
  2. Step 2: Convert to fraction form
    128,354/279,082 = 279,082/x
  3. Step 3: Cross multiply
    128,354x = 279,082 × 279,082
  4. Step 4: Simplify right side
    128,354x = 77,886,762,724
  5. Step 5: Solve for x
    x = 77,886,762,724/128,354
  6. Step 6: Final answer
    x = 606,812.12

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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.