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Finding the Third Proportional to 172,026 and 367,380

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Solution

The third proportional to 172,026 and 367,380 is: 784,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,026 : 367,380 = 367,380 : x
  2. Step 2: Convert to fraction form
    172,026/367,380 = 367,380/x
  3. Step 3: Cross multiply
    172,026x = 367,380 × 367,380
  4. Step 4: Simplify right side
    172,026x = 134,968,064,400
  5. Step 5: Solve for x
    x = 134,968,064,400/172,026
  6. Step 6: Final answer
    x = 784,579.45

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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.