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Finding the Third Proportional to 148,214 and 329,588

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Solution

The third proportional to 148,214 and 329,588 is: 732,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,214 : 329,588 = 329,588 : x
  2. Step 2: Convert to fraction form
    148,214/329,588 = 329,588/x
  3. Step 3: Cross multiply
    148,214x = 329,588 × 329,588
  4. Step 4: Simplify right side
    148,214x = 108,628,249,744
  5. Step 5: Solve for x
    x = 108,628,249,744/148,214
  6. Step 6: Final answer
    x = 732,914.91

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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.