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Finding the Third Proportional to 148,637 and 324,436

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Solution

The third proportional to 148,637 and 324,436 is: 708,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,637 : 324,436 = 324,436 : x
  2. Step 2: Convert to fraction form
    148,637/324,436 = 324,436/x
  3. Step 3: Cross multiply
    148,637x = 324,436 × 324,436
  4. Step 4: Simplify right side
    148,637x = 105,258,718,096
  5. Step 5: Solve for x
    x = 105,258,718,096/148,637
  6. Step 6: Final answer
    x = 708,159.60

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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.