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Finding the Third Proportional to 164,625 and 245,854.50

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Solution

The third proportional to 164,625 and 245,854.50 is: 367,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,625 : 245,854.50 = 245,854.50 : x
  2. Step 2: Convert to fraction form
    164,625/245,854.50 = 245,854.50/x
  3. Step 3: Cross multiply
    164,625x = 245,854.50 × 245,854.50
  4. Step 4: Simplify right side
    164,625x = 60,444,435,170.25
  5. Step 5: Solve for x
    x = 60,444,435,170.25/164,625
  6. Step 6: Final answer
    x = 367,164.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.