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Finding the Third Proportional to 245,976 and 376,100

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Solution

The third proportional to 245,976 and 376,100 is: 575,061.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,976 : 376,100 = 376,100 : x
  2. Step 2: Convert to fraction form
    245,976/376,100 = 376,100/x
  3. Step 3: Cross multiply
    245,976x = 376,100 × 376,100
  4. Step 4: Simplify right side
    245,976x = 141,451,210,000
  5. Step 5: Solve for x
    x = 141,451,210,000/245,976
  6. Step 6: Final answer
    x = 575,061.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.