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Finding the Third Proportional to 119,157 and 262,302.75

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Solution

The third proportional to 119,157 and 262,302.75 is: 577,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,157 : 262,302.75 = 262,302.75 : x
  2. Step 2: Convert to fraction form
    119,157/262,302.75 = 262,302.75/x
  3. Step 3: Cross multiply
    119,157x = 262,302.75 × 262,302.75
  4. Step 4: Simplify right side
    119,157x = 68,802,732,657.56
  5. Step 5: Solve for x
    x = 68,802,732,657.56/119,157
  6. Step 6: Final answer
    x = 577,412.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.