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Finding the Third Proportional to 105,437 and 227,482

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Solution

The third proportional to 105,437 and 227,482 is: 490,796.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,437 : 227,482 = 227,482 : x
  2. Step 2: Convert to fraction form
    105,437/227,482 = 227,482/x
  3. Step 3: Cross multiply
    105,437x = 227,482 × 227,482
  4. Step 4: Simplify right side
    105,437x = 51,748,060,324
  5. Step 5: Solve for x
    x = 51,748,060,324/105,437
  6. Step 6: Final answer
    x = 490,796.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.