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Finding the Third Proportional to 113,485 and 170,716

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Solution

The third proportional to 113,485 and 170,716 is: 256,808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,485 : 170,716 = 170,716 : x
  2. Step 2: Convert to fraction form
    113,485/170,716 = 170,716/x
  3. Step 3: Cross multiply
    113,485x = 170,716 × 170,716
  4. Step 4: Simplify right side
    113,485x = 29,143,952,656
  5. Step 5: Solve for x
    x = 29,143,952,656/113,485
  6. Step 6: Final answer
    x = 256,808.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.