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Finding the Third Proportional to 115,632.75 and 278,571.75

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Solution

The third proportional to 115,632.75 and 278,571.75 is: 671,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,632.75 : 278,571.75 = 278,571.75 : x
  2. Step 2: Convert to fraction form
    115,632.75/278,571.75 = 278,571.75/x
  3. Step 3: Cross multiply
    115,632.75x = 278,571.75 × 278,571.75
  4. Step 4: Simplify right side
    115,632.75x = 77,602,219,898.06
  5. Step 5: Solve for x
    x = 77,602,219,898.06/115,632.75
  6. Step 6: Final answer
    x = 671,109.35

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.