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Finding the Third Proportional to 117,549.75 and 176,323.50

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Solution

The third proportional to 117,549.75 and 176,323.50 is: 264,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,549.75 : 176,323.50 = 176,323.50 : x
  2. Step 2: Convert to fraction form
    117,549.75/176,323.50 = 176,323.50/x
  3. Step 3: Cross multiply
    117,549.75x = 176,323.50 × 176,323.50
  4. Step 4: Simplify right side
    117,549.75x = 31,089,976,652.25
  5. Step 5: Solve for x
    x = 31,089,976,652.25/117,549.75
  6. Step 6: Final answer
    x = 264,483.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.