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Finding the Third Proportional to 172,332 and 248,211

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Solution

The third proportional to 172,332 and 248,211 is: 357,500.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,332 : 248,211 = 248,211 : x
  2. Step 2: Convert to fraction form
    172,332/248,211 = 248,211/x
  3. Step 3: Cross multiply
    172,332x = 248,211 × 248,211
  4. Step 4: Simplify right side
    172,332x = 61,608,700,521
  5. Step 5: Solve for x
    x = 61,608,700,521/172,332
  6. Step 6: Final answer
    x = 357,500.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.