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Finding the Third Proportional to 172,984 and 368,288

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Solution

The third proportional to 172,984 and 368,288 is: 784,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,984 : 368,288 = 368,288 : x
  2. Step 2: Convert to fraction form
    172,984/368,288 = 368,288/x
  3. Step 3: Cross multiply
    172,984x = 368,288 × 368,288
  4. Step 4: Simplify right side
    172,984x = 135,636,050,944
  5. Step 5: Solve for x
    x = 135,636,050,944/172,984
  6. Step 6: Final answer
    x = 784,095.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.