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Finding the Third Proportional to 104,692 and 229,321.50

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Solution

The third proportional to 104,692 and 229,321.50 is: 502,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,692 : 229,321.50 = 229,321.50 : x
  2. Step 2: Convert to fraction form
    104,692/229,321.50 = 229,321.50/x
  3. Step 3: Cross multiply
    104,692x = 229,321.50 × 229,321.50
  4. Step 4: Simplify right side
    104,692x = 52,588,350,362.25
  5. Step 5: Solve for x
    x = 52,588,350,362.25/104,692
  6. Step 6: Final answer
    x = 502,314.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.