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Finding the Third Proportional to 207,276 and 275,130

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Solution

The third proportional to 207,276 and 275,130 is: 365,196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,276 : 275,130 = 275,130 : x
  2. Step 2: Convert to fraction form
    207,276/275,130 = 275,130/x
  3. Step 3: Cross multiply
    207,276x = 275,130 × 275,130
  4. Step 4: Simplify right side
    207,276x = 75,696,516,900
  5. Step 5: Solve for x
    x = 75,696,516,900/207,276
  6. Step 6: Final answer
    x = 365,196.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.