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Finding the Third Proportional to 175,399.31 and 282,477.94

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Solution

The third proportional to 175,399.31 and 282,477.94 is: 454,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,399.31 : 282,477.94 = 282,477.94 : x
  2. Step 2: Convert to fraction form
    175,399.31/282,477.94 = 282,477.94/x
  3. Step 3: Cross multiply
    175,399.31x = 282,477.94 × 282,477.94
  4. Step 4: Simplify right side
    175,399.31x = 79,793,785,174.25
  5. Step 5: Solve for x
    x = 79,793,785,174.25/175,399.31
  6. Step 6: Final answer
    x = 454,926.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.