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Finding the Third Proportional to 198,526 and 432,745

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Solution

The third proportional to 198,526 and 432,745 is: 943,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,526 : 432,745 = 432,745 : x
  2. Step 2: Convert to fraction form
    198,526/432,745 = 432,745/x
  3. Step 3: Cross multiply
    198,526x = 432,745 × 432,745
  4. Step 4: Simplify right side
    198,526x = 187,268,235,025
  5. Step 5: Solve for x
    x = 187,268,235,025/198,526
  6. Step 6: Final answer
    x = 943,293.25

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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.