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Finding the Third Proportional to 117,292.25 and 256,087.50

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Solution

The third proportional to 117,292.25 and 256,087.50 is: 559,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,292.25 : 256,087.50 = 256,087.50 : x
  2. Step 2: Convert to fraction form
    117,292.25/256,087.50 = 256,087.50/x
  3. Step 3: Cross multiply
    117,292.25x = 256,087.50 × 256,087.50
  4. Step 4: Simplify right side
    117,292.25x = 65,580,807,656.25
  5. Step 5: Solve for x
    x = 65,580,807,656.25/117,292.25
  6. Step 6: Final answer
    x = 559,123.11

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