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Finding the Third Proportional to 194,218 and 433,633

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Solution

The third proportional to 194,218 and 433,633 is: 968,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,218 : 433,633 = 433,633 : x
  2. Step 2: Convert to fraction form
    194,218/433,633 = 433,633/x
  3. Step 3: Cross multiply
    194,218x = 433,633 × 433,633
  4. Step 4: Simplify right side
    194,218x = 188,037,578,689
  5. Step 5: Solve for x
    x = 188,037,578,689/194,218
  6. Step 6: Final answer
    x = 968,177.92

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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.