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Finding the Third Proportional to 225,051.75 and 318,437.25

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Solution

The third proportional to 225,051.75 and 318,437.25 is: 450,573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,051.75 : 318,437.25 = 318,437.25 : x
  2. Step 2: Convert to fraction form
    225,051.75/318,437.25 = 318,437.25/x
  3. Step 3: Cross multiply
    225,051.75x = 318,437.25 × 318,437.25
  4. Step 4: Simplify right side
    225,051.75x = 101,402,282,187.56
  5. Step 5: Solve for x
    x = 101,402,282,187.56/225,051.75
  6. Step 6: Final answer
    x = 450,573.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.