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Finding the Third Proportional to 185,611.50 and 295,032.38

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Solution

The third proportional to 185,611.50 and 295,032.38 is: 468,958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,611.50 : 295,032.38 = 295,032.38 : x
  2. Step 2: Convert to fraction form
    185,611.50/295,032.38 = 295,032.38/x
  3. Step 3: Cross multiply
    185,611.50x = 295,032.38 × 295,032.38
  4. Step 4: Simplify right side
    185,611.50x = 87,044,102,298.14
  5. Step 5: Solve for x
    x = 87,044,102,298.14/185,611.50
  6. Step 6: Final answer
    x = 468,958.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.