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Finding the Third Proportional to 170,106.25 and 250,238.25

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Solution

The third proportional to 170,106.25 and 250,238.25 is: 368,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,106.25 : 250,238.25 = 250,238.25 : x
  2. Step 2: Convert to fraction form
    170,106.25/250,238.25 = 250,238.25/x
  3. Step 3: Cross multiply
    170,106.25x = 250,238.25 × 250,238.25
  4. Step 4: Simplify right side
    170,106.25x = 62,619,181,763.06
  5. Step 5: Solve for x
    x = 62,619,181,763.06/170,106.25
  6. Step 6: Final answer
    x = 368,118.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.