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Finding the Third Proportional to 107,055.75 and 233,187

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Solution

The third proportional to 107,055.75 and 233,187 is: 507,923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,055.75 : 233,187 = 233,187 : x
  2. Step 2: Convert to fraction form
    107,055.75/233,187 = 233,187/x
  3. Step 3: Cross multiply
    107,055.75x = 233,187 × 233,187
  4. Step 4: Simplify right side
    107,055.75x = 54,376,176,969
  5. Step 5: Solve for x
    x = 54,376,176,969/107,055.75
  6. Step 6: Final answer
    x = 507,923.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.