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Finding the Third Proportional to 163,092 and 229,669

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Solution

The third proportional to 163,092 and 229,669 is: 323,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,092 : 229,669 = 229,669 : x
  2. Step 2: Convert to fraction form
    163,092/229,669 = 229,669/x
  3. Step 3: Cross multiply
    163,092x = 229,669 × 229,669
  4. Step 4: Simplify right side
    163,092x = 52,747,849,561
  5. Step 5: Solve for x
    x = 52,747,849,561/163,092
  6. Step 6: Final answer
    x = 323,423.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.