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Finding the Third Proportional to 148,331 and 324,576

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Solution

The third proportional to 148,331 and 324,576 is: 710,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,331 : 324,576 = 324,576 : x
  2. Step 2: Convert to fraction form
    148,331/324,576 = 324,576/x
  3. Step 3: Cross multiply
    148,331x = 324,576 × 324,576
  4. Step 4: Simplify right side
    148,331x = 105,349,579,776
  5. Step 5: Solve for x
    x = 105,349,579,776/148,331
  6. Step 6: Final answer
    x = 710,233.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.