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Finding the Third Proportional to 151,447.50 and 235,162.50

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Solution

The third proportional to 151,447.50 and 235,162.50 is: 365,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,447.50 : 235,162.50 = 235,162.50 : x
  2. Step 2: Convert to fraction form
    151,447.50/235,162.50 = 235,162.50/x
  3. Step 3: Cross multiply
    151,447.50x = 235,162.50 × 235,162.50
  4. Step 4: Simplify right side
    151,447.50x = 55,301,401,406.25
  5. Step 5: Solve for x
    x = 55,301,401,406.25/151,447.50
  6. Step 6: Final answer
    x = 365,152.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.