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Finding the Third Proportional to 174,987 and 383,870.81

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Solution

The third proportional to 174,987 and 383,870.81 is: 842,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,987 : 383,870.81 = 383,870.81 : x
  2. Step 2: Convert to fraction form
    174,987/383,870.81 = 383,870.81/x
  3. Step 3: Cross multiply
    174,987x = 383,870.81 × 383,870.81
  4. Step 4: Simplify right side
    174,987x = 147,356,800,689.41
  5. Step 5: Solve for x
    x = 147,356,800,689.41/174,987
  6. Step 6: Final answer
    x = 842,101.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.