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Finding the Third Proportional to 146,146.50 and 318,741.75

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Solution

The third proportional to 146,146.50 and 318,741.75 is: 695,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,146.50 : 318,741.75 = 318,741.75 : x
  2. Step 2: Convert to fraction form
    146,146.50/318,741.75 = 318,741.75/x
  3. Step 3: Cross multiply
    146,146.50x = 318,741.75 × 318,741.75
  4. Step 4: Simplify right side
    146,146.50x = 101,596,303,193.06
  5. Step 5: Solve for x
    x = 101,596,303,193.06/146,146.50
  6. Step 6: Final answer
    x = 695,167.54

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Why These Related Problems?

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