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Finding the Third Proportional to 193,603.50 and 284,706

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Solution

The third proportional to 193,603.50 and 284,706 is: 418,677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,603.50 : 284,706 = 284,706 : x
  2. Step 2: Convert to fraction form
    193,603.50/284,706 = 284,706/x
  3. Step 3: Cross multiply
    193,603.50x = 284,706 × 284,706
  4. Step 4: Simplify right side
    193,603.50x = 81,057,506,436
  5. Step 5: Solve for x
    x = 81,057,506,436/193,603.50
  6. Step 6: Final answer
    x = 418,677.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.