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Finding the Third Proportional to 179,685 and 281,869.50

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Solution

The third proportional to 179,685 and 281,869.50 is: 442,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,685 : 281,869.50 = 281,869.50 : x
  2. Step 2: Convert to fraction form
    179,685/281,869.50 = 281,869.50/x
  3. Step 3: Cross multiply
    179,685x = 281,869.50 × 281,869.50
  4. Step 4: Simplify right side
    179,685x = 79,450,415,030.25
  5. Step 5: Solve for x
    x = 79,450,415,030.25/179,685
  6. Step 6: Final answer
    x = 442,164.98

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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.