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Finding the Third Proportional to 166,321 and 260,607.75

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Solution

The third proportional to 166,321 and 260,607.75 is: 408,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,321 : 260,607.75 = 260,607.75 : x
  2. Step 2: Convert to fraction form
    166,321/260,607.75 = 260,607.75/x
  3. Step 3: Cross multiply
    166,321x = 260,607.75 × 260,607.75
  4. Step 4: Simplify right side
    166,321x = 67,916,399,360.06
  5. Step 5: Solve for x
    x = 67,916,399,360.06/166,321
  6. Step 6: Final answer
    x = 408,345.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.