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Finding the Third Proportional to 170,004 and 250,306.50

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Solution

The third proportional to 170,004 and 250,306.50 is: 368,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,004 : 250,306.50 = 250,306.50 : x
  2. Step 2: Convert to fraction form
    170,004/250,306.50 = 250,306.50/x
  3. Step 3: Cross multiply
    170,004x = 250,306.50 × 250,306.50
  4. Step 4: Simplify right side
    170,004x = 62,653,343,942.25
  5. Step 5: Solve for x
    x = 62,653,343,942.25/170,004
  6. Step 6: Final answer
    x = 368,540.41

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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.