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Finding the Third Proportional to 143,056 and 307,928

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Solution

The third proportional to 143,056 and 307,928 is: 662,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,056 : 307,928 = 307,928 : x
  2. Step 2: Convert to fraction form
    143,056/307,928 = 307,928/x
  3. Step 3: Cross multiply
    143,056x = 307,928 × 307,928
  4. Step 4: Simplify right side
    143,056x = 94,819,653,184
  5. Step 5: Solve for x
    x = 94,819,653,184/143,056
  6. Step 6: Final answer
    x = 662,814.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.