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Finding the Third Proportional to 199,754 and 427,938.50

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Solution

The third proportional to 199,754 and 427,938.50 is: 916,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,754 : 427,938.50 = 427,938.50 : x
  2. Step 2: Convert to fraction form
    199,754/427,938.50 = 427,938.50/x
  3. Step 3: Cross multiply
    199,754x = 427,938.50 × 427,938.50
  4. Step 4: Simplify right side
    199,754x = 183,131,359,782.25
  5. Step 5: Solve for x
    x = 183,131,359,782.25/199,754
  6. Step 6: Final answer
    x = 916,784.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.