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Finding the Third Proportional to 170,107.50 and 250,239.50

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Solution

The third proportional to 170,107.50 and 250,239.50 is: 368,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,107.50 : 250,239.50 = 250,239.50 : x
  2. Step 2: Convert to fraction form
    170,107.50/250,239.50 = 250,239.50/x
  3. Step 3: Cross multiply
    170,107.50x = 250,239.50 × 250,239.50
  4. Step 4: Simplify right side
    170,107.50x = 62,619,807,360.25
  5. Step 5: Solve for x
    x = 62,619,807,360.25/170,107.50
  6. Step 6: Final answer
    x = 368,119.03

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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.