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Finding the Third Proportional to 216,219 and 473,166

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Solution

The third proportional to 216,219 and 473,166 is: 1,035,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,219 : 473,166 = 473,166 : x
  2. Step 2: Convert to fraction form
    216,219/473,166 = 473,166/x
  3. Step 3: Cross multiply
    216,219x = 473,166 × 473,166
  4. Step 4: Simplify right side
    216,219x = 223,886,063,556
  5. Step 5: Solve for x
    x = 223,886,063,556/216,219
  6. Step 6: Final answer
    x = 1,035,459.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.