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Finding the Third Proportional to 107,174 and 228,558

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Solution

The third proportional to 107,174 and 228,558 is: 487,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,174 : 228,558 = 228,558 : x
  2. Step 2: Convert to fraction form
    107,174/228,558 = 228,558/x
  3. Step 3: Cross multiply
    107,174x = 228,558 × 228,558
  4. Step 4: Simplify right side
    107,174x = 52,238,759,364
  5. Step 5: Solve for x
    x = 52,238,759,364/107,174
  6. Step 6: Final answer
    x = 487,420.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.