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Finding the Third Proportional to 148,100 and 322,488

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Solution

The third proportional to 148,100 and 322,488 is: 702,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,100 : 322,488 = 322,488 : x
  2. Step 2: Convert to fraction form
    148,100/322,488 = 322,488/x
  3. Step 3: Cross multiply
    148,100x = 322,488 × 322,488
  4. Step 4: Simplify right side
    148,100x = 103,998,510,144
  5. Step 5: Solve for x
    x = 103,998,510,144/148,100
  6. Step 6: Final answer
    x = 702,218.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.