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Finding the Third Proportional to 210,301.31 and 456,098.34

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Solution

The third proportional to 210,301.31 and 456,098.34 is: 989,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,301.31 : 456,098.34 = 456,098.34 : x
  2. Step 2: Convert to fraction form
    210,301.31/456,098.34 = 456,098.34/x
  3. Step 3: Cross multiply
    210,301.31x = 456,098.34 × 456,098.34
  4. Step 4: Simplify right side
    210,301.31x = 208,025,699,171.49
  5. Step 5: Solve for x
    x = 208,025,699,171.49/210,301.31
  6. Step 6: Final answer
    x = 989,179.27

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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.