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Finding the Third Proportional to 210.19 and 498.47

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Solution

The third proportional to 210.19 and 498.47 is: 1,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.19 : 498.47 = 498.47 : x
  2. Step 2: Convert to fraction form
    210.19/498.47 = 498.47/x
  3. Step 3: Cross multiply
    210.19x = 498.47 × 498.47
  4. Step 4: Simplify right side
    210.19x = 248,471.09
  5. Step 5: Solve for x
    x = 248,471.09/210.19
  6. Step 6: Final answer
    x = 1,182.14

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.