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Finding the Third Proportional to 107,406 and 235,143

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Solution

The third proportional to 107,406 and 235,143 is: 514,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,406 : 235,143 = 235,143 : x
  2. Step 2: Convert to fraction form
    107,406/235,143 = 235,143/x
  3. Step 3: Cross multiply
    107,406x = 235,143 × 235,143
  4. Step 4: Simplify right side
    107,406x = 55,292,230,449
  5. Step 5: Solve for x
    x = 55,292,230,449/107,406
  6. Step 6: Final answer
    x = 514,796.48

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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.