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Finding the Third Proportional to 253,231.50 and 540,357.75

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Solution

The third proportional to 253,231.50 and 540,357.75 is: 1,153,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,231.50 : 540,357.75 = 540,357.75 : x
  2. Step 2: Convert to fraction form
    253,231.50/540,357.75 = 540,357.75/x
  3. Step 3: Cross multiply
    253,231.50x = 540,357.75 × 540,357.75
  4. Step 4: Simplify right side
    253,231.50x = 291,986,497,985.06
  5. Step 5: Solve for x
    x = 291,986,497,985.06/253,231.50
  6. Step 6: Final answer
    x = 1,153,041.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.