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Finding the Third Proportional to 125,604 and 276,480

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Solution

The third proportional to 125,604 and 276,480 is: 608,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,604 : 276,480 = 276,480 : x
  2. Step 2: Convert to fraction form
    125,604/276,480 = 276,480/x
  3. Step 3: Cross multiply
    125,604x = 276,480 × 276,480
  4. Step 4: Simplify right side
    125,604x = 76,441,190,400
  5. Step 5: Solve for x
    x = 76,441,190,400/125,604
  6. Step 6: Final answer
    x = 608,588.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.