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Finding the Third Proportional to 131,472.75 and 287,823

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Solution

The third proportional to 131,472.75 and 287,823 is: 630,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,472.75 : 287,823 = 287,823 : x
  2. Step 2: Convert to fraction form
    131,472.75/287,823 = 287,823/x
  3. Step 3: Cross multiply
    131,472.75x = 287,823 × 287,823
  4. Step 4: Simplify right side
    131,472.75x = 82,842,079,329
  5. Step 5: Solve for x
    x = 82,842,079,329/131,472.75
  6. Step 6: Final answer
    x = 630,108.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.