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Finding the Third Proportional to 148,916 and 321,160

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Solution

The third proportional to 148,916 and 321,160 is: 692,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,916 : 321,160 = 321,160 : x
  2. Step 2: Convert to fraction form
    148,916/321,160 = 321,160/x
  3. Step 3: Cross multiply
    148,916x = 321,160 × 321,160
  4. Step 4: Simplify right side
    148,916x = 103,143,745,600
  5. Step 5: Solve for x
    x = 103,143,745,600/148,916
  6. Step 6: Final answer
    x = 692,630.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.