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Finding the Third Proportional to 166,320.50 and 260,607.50

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Solution

The third proportional to 166,320.50 and 260,607.50 is: 408,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,320.50 : 260,607.50 = 260,607.50 : x
  2. Step 2: Convert to fraction form
    166,320.50/260,607.50 = 260,607.50/x
  3. Step 3: Cross multiply
    166,320.50x = 260,607.50 × 260,607.50
  4. Step 4: Simplify right side
    166,320.50x = 67,916,269,056.25
  5. Step 5: Solve for x
    x = 67,916,269,056.25/166,320.50
  6. Step 6: Final answer
    x = 408,345.75

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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.