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Finding the Third Proportional to 117,464 and 258,254

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Solution

The third proportional to 117,464 and 258,254 is: 567,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,464 : 258,254 = 258,254 : x
  2. Step 2: Convert to fraction form
    117,464/258,254 = 258,254/x
  3. Step 3: Cross multiply
    117,464x = 258,254 × 258,254
  4. Step 4: Simplify right side
    117,464x = 66,695,128,516
  5. Step 5: Solve for x
    x = 66,695,128,516/117,464
  6. Step 6: Final answer
    x = 567,792.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.