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Finding the Third Proportional to 117,483.75 and 241,192.50

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Solution

The third proportional to 117,483.75 and 241,192.50 is: 495,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,483.75 : 241,192.50 = 241,192.50 : x
  2. Step 2: Convert to fraction form
    117,483.75/241,192.50 = 241,192.50/x
  3. Step 3: Cross multiply
    117,483.75x = 241,192.50 × 241,192.50
  4. Step 4: Simplify right side
    117,483.75x = 58,173,822,056.25
  5. Step 5: Solve for x
    x = 58,173,822,056.25/117,483.75
  6. Step 6: Final answer
    x = 495,164.84

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.