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Finding the Third Proportional to 210.13 and 475.38

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Solution

The third proportional to 210.13 and 475.38 is: 1,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.13 : 475.38 = 475.38 : x
  2. Step 2: Convert to fraction form
    210.13/475.38 = 475.38/x
  3. Step 3: Cross multiply
    210.13x = 475.38 × 475.38
  4. Step 4: Simplify right side
    210.13x = 225,981.39
  5. Step 5: Solve for x
    x = 225,981.39/210.13
  6. Step 6: Final answer
    x = 1,075.46

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.