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Finding the Third Proportional to 172,692 and 229,536

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Solution

The third proportional to 172,692 and 229,536 is: 305,091.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,692 : 229,536 = 229,536 : x
  2. Step 2: Convert to fraction form
    172,692/229,536 = 229,536/x
  3. Step 3: Cross multiply
    172,692x = 229,536 × 229,536
  4. Step 4: Simplify right side
    172,692x = 52,686,775,296
  5. Step 5: Solve for x
    x = 52,686,775,296/172,692
  6. Step 6: Final answer
    x = 305,091.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.