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Finding the Third Proportional to 199,220 and 433,216

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Solution

The third proportional to 199,220 and 433,216 is: 942,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,220 : 433,216 = 433,216 : x
  2. Step 2: Convert to fraction form
    199,220/433,216 = 433,216/x
  3. Step 3: Cross multiply
    199,220x = 433,216 × 433,216
  4. Step 4: Simplify right side
    199,220x = 187,676,102,656
  5. Step 5: Solve for x
    x = 187,676,102,656/199,220
  6. Step 6: Final answer
    x = 942,054.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.