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Finding the Third Proportional to 198,706 and 433,106

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Solution

The third proportional to 198,706 and 433,106 is: 944,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,706 : 433,106 = 433,106 : x
  2. Step 2: Convert to fraction form
    198,706/433,106 = 433,106/x
  3. Step 3: Cross multiply
    198,706x = 433,106 × 433,106
  4. Step 4: Simplify right side
    198,706x = 187,580,807,236
  5. Step 5: Solve for x
    x = 187,580,807,236/198,706
  6. Step 6: Final answer
    x = 944,011.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.