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Finding the Third Proportional to 148,116 and 313,887

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Solution

The third proportional to 148,116 and 313,887 is: 665,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,116 : 313,887 = 313,887 : x
  2. Step 2: Convert to fraction form
    148,116/313,887 = 313,887/x
  3. Step 3: Cross multiply
    148,116x = 313,887 × 313,887
  4. Step 4: Simplify right side
    148,116x = 98,525,048,769
  5. Step 5: Solve for x
    x = 98,525,048,769/148,116
  6. Step 6: Final answer
    x = 665,188.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.