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Finding the Third Proportional to 148,906 and 324,076

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Solution

The third proportional to 148,906 and 324,076 is: 705,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,906 : 324,076 = 324,076 : x
  2. Step 2: Convert to fraction form
    148,906/324,076 = 324,076/x
  3. Step 3: Cross multiply
    148,906x = 324,076 × 324,076
  4. Step 4: Simplify right side
    148,906x = 105,025,253,776
  5. Step 5: Solve for x
    x = 105,025,253,776/148,906
  6. Step 6: Final answer
    x = 705,312.44

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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.