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Finding the Third Proportional to 115,464 and 257,160

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Solution

The third proportional to 115,464 and 257,160 is: 572,743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,464 : 257,160 = 257,160 : x
  2. Step 2: Convert to fraction form
    115,464/257,160 = 257,160/x
  3. Step 3: Cross multiply
    115,464x = 257,160 × 257,160
  4. Step 4: Simplify right side
    115,464x = 66,131,265,600
  5. Step 5: Solve for x
    x = 66,131,265,600/115,464
  6. Step 6: Final answer
    x = 572,743.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.