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Finding the Third Proportional to 117,125 and 257,574

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Solution

The third proportional to 117,125 and 257,574 is: 566,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,125 : 257,574 = 257,574 : x
  2. Step 2: Convert to fraction form
    117,125/257,574 = 257,574/x
  3. Step 3: Cross multiply
    117,125x = 257,574 × 257,574
  4. Step 4: Simplify right side
    117,125x = 66,344,365,476
  5. Step 5: Solve for x
    x = 66,344,365,476/117,125
  6. Step 6: Final answer
    x = 566,440.69

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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.