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Finding the Third Proportional to 210.09 and 497.67

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Solution

The third proportional to 210.09 and 497.67 is: 1,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.09 : 497.67 = 497.67 : x
  2. Step 2: Convert to fraction form
    210.09/497.67 = 497.67/x
  3. Step 3: Cross multiply
    210.09x = 497.67 × 497.67
  4. Step 4: Simplify right side
    210.09x = 247,677.30
  5. Step 5: Solve for x
    x = 247,677.30/210.09
  6. Step 6: Final answer
    x = 1,178.89

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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.