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Finding the Third Proportional to 74,205 and 164,416.50

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Solution

The third proportional to 74,205 and 164,416.50 is: 364,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,205 : 164,416.50 = 164,416.50 : x
  2. Step 2: Convert to fraction form
    74,205/164,416.50 = 164,416.50/x
  3. Step 3: Cross multiply
    74,205x = 164,416.50 × 164,416.50
  4. Step 4: Simplify right side
    74,205x = 27,032,785,472.25
  5. Step 5: Solve for x
    x = 27,032,785,472.25/74,205
  6. Step 6: Final answer
    x = 364,298.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.