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Finding the Third Proportional to 128,534 and 278,516

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Solution

The third proportional to 128,534 and 278,516 is: 603,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,534 : 278,516 = 278,516 : x
  2. Step 2: Convert to fraction form
    128,534/278,516 = 278,516/x
  3. Step 3: Cross multiply
    128,534x = 278,516 × 278,516
  4. Step 4: Simplify right side
    128,534x = 77,571,162,256
  5. Step 5: Solve for x
    x = 77,571,162,256/128,534
  6. Step 6: Final answer
    x = 603,506.95

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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.