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Finding the Third Proportional to 174,177 and 260,590.50

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Solution

The third proportional to 174,177 and 260,590.50 is: 389,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,177 : 260,590.50 = 260,590.50 : x
  2. Step 2: Convert to fraction form
    174,177/260,590.50 = 260,590.50/x
  3. Step 3: Cross multiply
    174,177x = 260,590.50 × 260,590.50
  4. Step 4: Simplify right side
    174,177x = 67,907,408,690.25
  5. Step 5: Solve for x
    x = 67,907,408,690.25/174,177
  6. Step 6: Final answer
    x = 389,875.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.