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Finding the Third Proportional to 146,110 and 218,575.50

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Solution

The third proportional to 146,110 and 218,575.50 is: 326,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,110 : 218,575.50 = 218,575.50 : x
  2. Step 2: Convert to fraction form
    146,110/218,575.50 = 218,575.50/x
  3. Step 3: Cross multiply
    146,110x = 218,575.50 × 218,575.50
  4. Step 4: Simplify right side
    146,110x = 47,775,249,200.25
  5. Step 5: Solve for x
    x = 47,775,249,200.25/146,110
  6. Step 6: Final answer
    x = 326,981.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.