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Finding the Third Proportional to 115,748 and 251,184

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Solution

The third proportional to 115,748 and 251,184 is: 545,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,748 : 251,184 = 251,184 : x
  2. Step 2: Convert to fraction form
    115,748/251,184 = 251,184/x
  3. Step 3: Cross multiply
    115,748x = 251,184 × 251,184
  4. Step 4: Simplify right side
    115,748x = 63,093,401,856
  5. Step 5: Solve for x
    x = 63,093,401,856/115,748
  6. Step 6: Final answer
    x = 545,092.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.