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Finding the Third Proportional to 147,822 and 335,103

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Solution

The third proportional to 147,822 and 335,103 is: 759,657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,822 : 335,103 = 335,103 : x
  2. Step 2: Convert to fraction form
    147,822/335,103 = 335,103/x
  3. Step 3: Cross multiply
    147,822x = 335,103 × 335,103
  4. Step 4: Simplify right side
    147,822x = 112,294,020,609
  5. Step 5: Solve for x
    x = 112,294,020,609/147,822
  6. Step 6: Final answer
    x = 759,657.02

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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.