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Finding the Third Proportional to 223,864.25 and 483,814

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Solution

The third proportional to 223,864.25 and 483,814 is: 1,045,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,864.25 : 483,814 = 483,814 : x
  2. Step 2: Convert to fraction form
    223,864.25/483,814 = 483,814/x
  3. Step 3: Cross multiply
    223,864.25x = 483,814 × 483,814
  4. Step 4: Simplify right side
    223,864.25x = 234,075,986,596
  5. Step 5: Solve for x
    x = 234,075,986,596/223,864.25
  6. Step 6: Final answer
    x = 1,045,615.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.