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Finding the Third Proportional to 153,625.50 and 223,683.75

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Solution

The third proportional to 153,625.50 and 223,683.75 is: 325,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,625.50 : 223,683.75 = 223,683.75 : x
  2. Step 2: Convert to fraction form
    153,625.50/223,683.75 = 223,683.75/x
  3. Step 3: Cross multiply
    153,625.50x = 223,683.75 × 223,683.75
  4. Step 4: Simplify right side
    153,625.50x = 50,034,420,014.06
  5. Step 5: Solve for x
    x = 50,034,420,014.06/153,625.50
  6. Step 6: Final answer
    x = 325,690.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.