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Finding the Third Proportional to 210,338 and 456,167

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Solution

The third proportional to 210,338 and 456,167 is: 989,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,338 : 456,167 = 456,167 : x
  2. Step 2: Convert to fraction form
    210,338/456,167 = 456,167/x
  3. Step 3: Cross multiply
    210,338x = 456,167 × 456,167
  4. Step 4: Simplify right side
    210,338x = 208,088,331,889
  5. Step 5: Solve for x
    x = 208,088,331,889/210,338
  6. Step 6: Final answer
    x = 989,304.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.