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Finding the Third Proportional to 210,192 and 461,262

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Solution

The third proportional to 210,192 and 461,262 is: 1,012,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,192 : 461,262 = 461,262 : x
  2. Step 2: Convert to fraction form
    210,192/461,262 = 461,262/x
  3. Step 3: Cross multiply
    210,192x = 461,262 × 461,262
  4. Step 4: Simplify right side
    210,192x = 212,762,632,644
  5. Step 5: Solve for x
    x = 212,762,632,644/210,192
  6. Step 6: Final answer
    x = 1,012,229.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.