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Finding the Third Proportional to 125,374.50 and 269,379

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Solution

The third proportional to 125,374.50 and 269,379 is: 578,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,374.50 : 269,379 = 269,379 : x
  2. Step 2: Convert to fraction form
    125,374.50/269,379 = 269,379/x
  3. Step 3: Cross multiply
    125,374.50x = 269,379 × 269,379
  4. Step 4: Simplify right side
    125,374.50x = 72,565,045,641
  5. Step 5: Solve for x
    x = 72,565,045,641/125,374.50
  6. Step 6: Final answer
    x = 578,786.32

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Why These Related Problems?

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