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Finding the Third Proportional to 200.88 and 507.50

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Solution

The third proportional to 200.88 and 507.50 is: 1,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.88 : 507.50 = 507.50 : x
  2. Step 2: Convert to fraction form
    200.88/507.50 = 507.50/x
  3. Step 3: Cross multiply
    200.88x = 507.50 × 507.50
  4. Step 4: Simplify right side
    200.88x = 257,556.25
  5. Step 5: Solve for x
    x = 257,556.25/200.88
  6. Step 6: Final answer
    x = 1,282.17

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.