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Finding the Third Proportional to 172,394 and 365,312

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Solution

The third proportional to 172,394 and 365,312 is: 774,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,394 : 365,312 = 365,312 : x
  2. Step 2: Convert to fraction form
    172,394/365,312 = 365,312/x
  3. Step 3: Cross multiply
    172,394x = 365,312 × 365,312
  4. Step 4: Simplify right side
    172,394x = 133,452,857,344
  5. Step 5: Solve for x
    x = 133,452,857,344/172,394
  6. Step 6: Final answer
    x = 774,115.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.