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Finding the Third Proportional to 200,736.98 and 288,530.23

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Solution

The third proportional to 200,736.98 and 288,530.23 is: 414,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,736.98 : 288,530.23 = 288,530.23 : x
  2. Step 2: Convert to fraction form
    200,736.98/288,530.23 = 288,530.23/x
  3. Step 3: Cross multiply
    200,736.98x = 288,530.23 × 288,530.23
  4. Step 4: Simplify right side
    200,736.98x = 83,249,691,640.21
  5. Step 5: Solve for x
    x = 83,249,691,640.21/200,736.98
  6. Step 6: Final answer
    x = 414,720.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.