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Finding the Third Proportional to 131,123 and 287,518

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Solution

The third proportional to 131,123 and 287,518 is: 630,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,123 : 287,518 = 287,518 : x
  2. Step 2: Convert to fraction form
    131,123/287,518 = 287,518/x
  3. Step 3: Cross multiply
    131,123x = 287,518 × 287,518
  4. Step 4: Simplify right side
    131,123x = 82,666,600,324
  5. Step 5: Solve for x
    x = 82,666,600,324/131,123
  6. Step 6: Final answer
    x = 630,450.80

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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.