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Finding the Third Proportional to 121,457 and 266,827

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Solution

The third proportional to 121,457 and 266,827 is: 586,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,457 : 266,827 = 266,827 : x
  2. Step 2: Convert to fraction form
    121,457/266,827 = 266,827/x
  3. Step 3: Cross multiply
    121,457x = 266,827 × 266,827
  4. Step 4: Simplify right side
    121,457x = 71,196,647,929
  5. Step 5: Solve for x
    x = 71,196,647,929/121,457
  6. Step 6: Final answer
    x = 586,188.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.