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Finding the Third Proportional to 123,817 and 271,368.50

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Solution

The third proportional to 123,817 and 271,368.50 is: 594,755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,817 : 271,368.50 = 271,368.50 : x
  2. Step 2: Convert to fraction form
    123,817/271,368.50 = 271,368.50/x
  3. Step 3: Cross multiply
    123,817x = 271,368.50 × 271,368.50
  4. Step 4: Simplify right side
    123,817x = 73,640,862,792.25
  5. Step 5: Solve for x
    x = 73,640,862,792.25/123,817
  6. Step 6: Final answer
    x = 594,755.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.