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Finding the Third Proportional to 143,073 and 282,544.88

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Solution

The third proportional to 143,073 and 282,544.88 is: 557,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,073 : 282,544.88 = 282,544.88 : x
  2. Step 2: Convert to fraction form
    143,073/282,544.88 = 282,544.88/x
  3. Step 3: Cross multiply
    143,073x = 282,544.88 × 282,544.88
  4. Step 4: Simplify right side
    143,073x = 79,831,606,388.77
  5. Step 5: Solve for x
    x = 79,831,606,388.77/143,073
  6. Step 6: Final answer
    x = 557,978.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.