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Finding the Third Proportional to 179,579.91 and 268,875.28

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Solution

The third proportional to 179,579.91 and 268,875.28 is: 402,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,579.91 : 268,875.28 = 268,875.28 : x
  2. Step 2: Convert to fraction form
    179,579.91/268,875.28 = 268,875.28/x
  3. Step 3: Cross multiply
    179,579.91x = 268,875.28 × 268,875.28
  4. Step 4: Simplify right side
    179,579.91x = 72,293,916,867.27
  5. Step 5: Solve for x
    x = 72,293,916,867.27/179,579.91
  6. Step 6: Final answer
    x = 402,572.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.