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Finding the Third Proportional to 142,603.03 and 305,451

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Solution

The third proportional to 142,603.03 and 305,451 is: 654,265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,603.03 : 305,451 = 305,451 : x
  2. Step 2: Convert to fraction form
    142,603.03/305,451 = 305,451/x
  3. Step 3: Cross multiply
    142,603.03x = 305,451 × 305,451
  4. Step 4: Simplify right side
    142,603.03x = 93,300,313,401
  5. Step 5: Solve for x
    x = 93,300,313,401/142,603.03
  6. Step 6: Final answer
    x = 654,265.99

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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.