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Finding the Third Proportional to 153,158.34 and 228,814.88

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Solution

The third proportional to 153,158.34 and 228,814.88 is: 341,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,158.34 : 228,814.88 = 228,814.88 : x
  2. Step 2: Convert to fraction form
    153,158.34/228,814.88 = 228,814.88/x
  3. Step 3: Cross multiply
    153,158.34x = 228,814.88 × 228,814.88
  4. Step 4: Simplify right side
    153,158.34x = 52,356,247,021.27
  5. Step 5: Solve for x
    x = 52,356,247,021.27/153,158.34
  6. Step 6: Final answer
    x = 341,843.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.