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Finding the Third Proportional to 148,612.50 and 322,119

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Solution

The third proportional to 148,612.50 and 322,119 is: 698,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,612.50 : 322,119 = 322,119 : x
  2. Step 2: Convert to fraction form
    148,612.50/322,119 = 322,119/x
  3. Step 3: Cross multiply
    148,612.50x = 322,119 × 322,119
  4. Step 4: Simplify right side
    148,612.50x = 103,760,650,161
  5. Step 5: Solve for x
    x = 103,760,650,161/148,612.50
  6. Step 6: Final answer
    x = 698,195.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.