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Finding the Third Proportional to 119,855 and 263,038

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Solution

The third proportional to 119,855 and 263,038 is: 577,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,855 : 263,038 = 263,038 : x
  2. Step 2: Convert to fraction form
    119,855/263,038 = 263,038/x
  3. Step 3: Cross multiply
    119,855x = 263,038 × 263,038
  4. Step 4: Simplify right side
    119,855x = 69,188,989,444
  5. Step 5: Solve for x
    x = 69,188,989,444/119,855
  6. Step 6: Final answer
    x = 577,272.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.