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Finding the Third Proportional to 117,733.50 and 255,028.50

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Solution

The third proportional to 117,733.50 and 255,028.50 is: 552,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,733.50 : 255,028.50 = 255,028.50 : x
  2. Step 2: Convert to fraction form
    117,733.50/255,028.50 = 255,028.50/x
  3. Step 3: Cross multiply
    117,733.50x = 255,028.50 × 255,028.50
  4. Step 4: Simplify right side
    117,733.50x = 65,039,535,812.25
  5. Step 5: Solve for x
    x = 65,039,535,812.25/117,733.50
  6. Step 6: Final answer
    x = 552,430.16

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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.