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Finding the Third Proportional to 116,522 and 255,275

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Solution

The third proportional to 116,522 and 255,275 is: 559,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,522 : 255,275 = 255,275 : x
  2. Step 2: Convert to fraction form
    116,522/255,275 = 255,275/x
  3. Step 3: Cross multiply
    116,522x = 255,275 × 255,275
  4. Step 4: Simplify right side
    116,522x = 65,165,325,625
  5. Step 5: Solve for x
    x = 65,165,325,625/116,522
  6. Step 6: Final answer
    x = 559,253.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.