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Finding the Third Proportional to 194,220 and 433,637

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Solution

The third proportional to 194,220 and 433,637 is: 968,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,220 : 433,637 = 433,637 : x
  2. Step 2: Convert to fraction form
    194,220/433,637 = 433,637/x
  3. Step 3: Cross multiply
    194,220x = 433,637 × 433,637
  4. Step 4: Simplify right side
    194,220x = 188,041,047,769
  5. Step 5: Solve for x
    x = 188,041,047,769/194,220
  6. Step 6: Final answer
    x = 968,185.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.