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Finding the Third Proportional to 179,592.19 and 281,783.81

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Solution

The third proportional to 179,592.19 and 281,783.81 is: 442,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,592.19 : 281,783.81 = 281,783.81 : x
  2. Step 2: Convert to fraction form
    179,592.19/281,783.81 = 281,783.81/x
  3. Step 3: Cross multiply
    179,592.19x = 281,783.81 × 281,783.81
  4. Step 4: Simplify right side
    179,592.19x = 79,402,116,987.04
  5. Step 5: Solve for x
    x = 79,402,116,987.04/179,592.19
  6. Step 6: Final answer
    x = 442,124.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.