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Finding the Third Proportional to 143,731.13 and 302,356.13

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Solution

The third proportional to 143,731.13 and 302,356.13 is: 636,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,731.13 : 302,356.13 = 302,356.13 : x
  2. Step 2: Convert to fraction form
    143,731.13/302,356.13 = 302,356.13/x
  3. Step 3: Cross multiply
    143,731.13x = 302,356.13 × 302,356.13
  4. Step 4: Simplify right side
    143,731.13x = 91,419,226,325.02
  5. Step 5: Solve for x
    x = 91,419,226,325.02/143,731.13
  6. Step 6: Final answer
    x = 636,043.35

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.