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Finding the Third Proportional to 115,047 and 251,451

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Solution

The third proportional to 115,047 and 251,451 is: 549,580.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,047 : 251,451 = 251,451 : x
  2. Step 2: Convert to fraction form
    115,047/251,451 = 251,451/x
  3. Step 3: Cross multiply
    115,047x = 251,451 × 251,451
  4. Step 4: Simplify right side
    115,047x = 63,227,605,401
  5. Step 5: Solve for x
    x = 63,227,605,401/115,047
  6. Step 6: Final answer
    x = 549,580.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.