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Finding the Third Proportional to 211,457.25 and 456,161.63

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Solution

The third proportional to 211,457.25 and 456,161.63 is: 984,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,457.25 : 456,161.63 = 456,161.63 : x
  2. Step 2: Convert to fraction form
    211,457.25/456,161.63 = 456,161.63/x
  3. Step 3: Cross multiply
    211,457.25x = 456,161.63 × 456,161.63
  4. Step 4: Simplify right side
    211,457.25x = 208,083,428,122.64
  5. Step 5: Solve for x
    x = 208,083,428,122.64/211,457.25
  6. Step 6: Final answer
    x = 984,044.90

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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.