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Finding the Third Proportional to 172,089 and 369,088

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Solution

The third proportional to 172,089 and 369,088 is: 791,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,089 : 369,088 = 369,088 : x
  2. Step 2: Convert to fraction form
    172,089/369,088 = 369,088/x
  3. Step 3: Cross multiply
    172,089x = 369,088 × 369,088
  4. Step 4: Simplify right side
    172,089x = 136,225,951,744
  5. Step 5: Solve for x
    x = 136,225,951,744/172,089
  6. Step 6: Final answer
    x = 791,601.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.