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Finding the Third Proportional to 107,840 and 234,309.75

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Solution

The third proportional to 107,840 and 234,309.75 is: 509,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,840 : 234,309.75 = 234,309.75 : x
  2. Step 2: Convert to fraction form
    107,840/234,309.75 = 234,309.75/x
  3. Step 3: Cross multiply
    107,840x = 234,309.75 × 234,309.75
  4. Step 4: Simplify right side
    107,840x = 54,901,058,945.06
  5. Step 5: Solve for x
    x = 54,901,058,945.06/107,840
  6. Step 6: Final answer
    x = 509,097.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.