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Finding the Third Proportional to 198,497.25 and 432,681.75

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Solution

The third proportional to 198,497.25 and 432,681.75 is: 943,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,497.25 : 432,681.75 = 432,681.75 : x
  2. Step 2: Convert to fraction form
    198,497.25/432,681.75 = 432,681.75/x
  3. Step 3: Cross multiply
    198,497.25x = 432,681.75 × 432,681.75
  4. Step 4: Simplify right side
    198,497.25x = 187,213,496,783.06
  5. Step 5: Solve for x
    x = 187,213,496,783.06/198,497.25
  6. Step 6: Final answer
    x = 943,154.11

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