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Finding the Third Proportional to 74,160 and 164,337.50

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Solution

The third proportional to 74,160 and 164,337.50 is: 364,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,160 : 164,337.50 = 164,337.50 : x
  2. Step 2: Convert to fraction form
    74,160/164,337.50 = 164,337.50/x
  3. Step 3: Cross multiply
    74,160x = 164,337.50 × 164,337.50
  4. Step 4: Simplify right side
    74,160x = 27,006,813,906.25
  5. Step 5: Solve for x
    x = 27,006,813,906.25/74,160
  6. Step 6: Final answer
    x = 364,169.55

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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.