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Finding the Third Proportional to 147,815 and 335,092

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Solution

The third proportional to 147,815 and 335,092 is: 759,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,815 : 335,092 = 335,092 : x
  2. Step 2: Convert to fraction form
    147,815/335,092 = 335,092/x
  3. Step 3: Cross multiply
    147,815x = 335,092 × 335,092
  4. Step 4: Simplify right side
    147,815x = 112,286,648,464
  5. Step 5: Solve for x
    x = 112,286,648,464/147,815
  6. Step 6: Final answer
    x = 759,643.12

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.