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Finding the Third Proportional to 199,307.25 and 302,649.75

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Solution

The third proportional to 199,307.25 and 302,649.75 is: 459,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,307.25 : 302,649.75 = 302,649.75 : x
  2. Step 2: Convert to fraction form
    199,307.25/302,649.75 = 302,649.75/x
  3. Step 3: Cross multiply
    199,307.25x = 302,649.75 × 302,649.75
  4. Step 4: Simplify right side
    199,307.25x = 91,596,871,175.06
  5. Step 5: Solve for x
    x = 91,596,871,175.06/199,307.25
  6. Step 6: Final answer
    x = 459,576.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.