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Finding the Third Proportional to 240,003 and 309,703.50

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Solution

The third proportional to 240,003 and 309,703.50 is: 399,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,003 : 309,703.50 = 309,703.50 : x
  2. Step 2: Convert to fraction form
    240,003/309,703.50 = 309,703.50/x
  3. Step 3: Cross multiply
    240,003x = 309,703.50 × 309,703.50
  4. Step 4: Simplify right side
    240,003x = 95,916,257,912.25
  5. Step 5: Solve for x
    x = 95,916,257,912.25/240,003
  6. Step 6: Final answer
    x = 399,646.08

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.