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Finding the Third Proportional to 117,126 and 257,576

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Solution

The third proportional to 117,126 and 257,576 is: 566,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,126 : 257,576 = 257,576 : x
  2. Step 2: Convert to fraction form
    117,126/257,576 = 257,576/x
  3. Step 3: Cross multiply
    117,126x = 257,576 × 257,576
  4. Step 4: Simplify right side
    117,126x = 66,345,395,776
  5. Step 5: Solve for x
    x = 66,345,395,776/117,126
  6. Step 6: Final answer
    x = 566,444.65

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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.