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Finding the Third Proportional to 115,004 and 251,464

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Solution

The third proportional to 115,004 and 251,464 is: 549,842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,004 : 251,464 = 251,464 : x
  2. Step 2: Convert to fraction form
    115,004/251,464 = 251,464/x
  3. Step 3: Cross multiply
    115,004x = 251,464 × 251,464
  4. Step 4: Simplify right side
    115,004x = 63,234,143,296
  5. Step 5: Solve for x
    x = 63,234,143,296/115,004
  6. Step 6: Final answer
    x = 549,842.99

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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.