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Finding the Third Proportional to 169,534 and 248,217

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Solution

The third proportional to 169,534 and 248,217 is: 363,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,534 : 248,217 = 248,217 : x
  2. Step 2: Convert to fraction form
    169,534/248,217 = 248,217/x
  3. Step 3: Cross multiply
    169,534x = 248,217 × 248,217
  4. Step 4: Simplify right side
    169,534x = 61,611,679,089
  5. Step 5: Solve for x
    x = 61,611,679,089/169,534
  6. Step 6: Final answer
    x = 363,417.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.