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Finding the Third Proportional to 108,894.50 and 234,472

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Solution

The third proportional to 108,894.50 and 234,472 is: 504,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,894.50 : 234,472 = 234,472 : x
  2. Step 2: Convert to fraction form
    108,894.50/234,472 = 234,472/x
  3. Step 3: Cross multiply
    108,894.50x = 234,472 × 234,472
  4. Step 4: Simplify right side
    108,894.50x = 54,977,118,784
  5. Step 5: Solve for x
    x = 54,977,118,784/108,894.50
  6. Step 6: Final answer
    x = 504,865.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.