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Finding the Third Proportional to 152,131.50 and 228,252.38

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Solution

The third proportional to 152,131.50 and 228,252.38 is: 342,461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,131.50 : 228,252.38 = 228,252.38 : x
  2. Step 2: Convert to fraction form
    152,131.50/228,252.38 = 228,252.38/x
  3. Step 3: Cross multiply
    152,131.50x = 228,252.38 × 228,252.38
  4. Step 4: Simplify right side
    152,131.50x = 52,099,146,693.14
  5. Step 5: Solve for x
    x = 52,099,146,693.14/152,131.50
  6. Step 6: Final answer
    x = 342,461.27

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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.