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Finding the Third Proportional to 195,987 and 276,001.50

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Solution

The third proportional to 195,987 and 276,001.50 is: 388,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,987 : 276,001.50 = 276,001.50 : x
  2. Step 2: Convert to fraction form
    195,987/276,001.50 = 276,001.50/x
  3. Step 3: Cross multiply
    195,987x = 276,001.50 × 276,001.50
  4. Step 4: Simplify right side
    195,987x = 76,176,828,002.25
  5. Step 5: Solve for x
    x = 76,176,828,002.25/195,987
  6. Step 6: Final answer
    x = 388,683.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.