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Finding the Third Proportional to 164,331 and 345,262.50

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Solution

The third proportional to 164,331 and 345,262.50 is: 725,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,331 : 345,262.50 = 345,262.50 : x
  2. Step 2: Convert to fraction form
    164,331/345,262.50 = 345,262.50/x
  3. Step 3: Cross multiply
    164,331x = 345,262.50 × 345,262.50
  4. Step 4: Simplify right side
    164,331x = 119,206,193,906.25
  5. Step 5: Solve for x
    x = 119,206,193,906.25/164,331
  6. Step 6: Final answer
    x = 725,402.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.