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Finding the Third Proportional to 149,522 and 326,564

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Solution

The third proportional to 149,522 and 326,564 is: 713,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,522 : 326,564 = 326,564 : x
  2. Step 2: Convert to fraction form
    149,522/326,564 = 326,564/x
  3. Step 3: Cross multiply
    149,522x = 326,564 × 326,564
  4. Step 4: Simplify right side
    149,522x = 106,644,046,096
  5. Step 5: Solve for x
    x = 106,644,046,096/149,522
  6. Step 6: Final answer
    x = 713,233.14

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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.