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Finding the Third Proportional to 170,653 and 229,733

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Solution

The third proportional to 170,653 and 229,733 is: 309,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,653 : 229,733 = 229,733 : x
  2. Step 2: Convert to fraction form
    170,653/229,733 = 229,733/x
  3. Step 3: Cross multiply
    170,653x = 229,733 × 229,733
  4. Step 4: Simplify right side
    170,653x = 52,777,251,289
  5. Step 5: Solve for x
    x = 52,777,251,289/170,653
  6. Step 6: Final answer
    x = 309,266.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.