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Finding the Third Proportional to 210,154 and 449,833

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Solution

The third proportional to 210,154 and 449,833 is: 962,864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,154 : 449,833 = 449,833 : x
  2. Step 2: Convert to fraction form
    210,154/449,833 = 449,833/x
  3. Step 3: Cross multiply
    210,154x = 449,833 × 449,833
  4. Step 4: Simplify right side
    210,154x = 202,349,727,889
  5. Step 5: Solve for x
    x = 202,349,727,889/210,154
  6. Step 6: Final answer
    x = 962,864.03

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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.