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Finding the Third Proportional to 231,284 and 264,499

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Solution

The third proportional to 231,284 and 264,499 is: 302,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,284 : 264,499 = 264,499 : x
  2. Step 2: Convert to fraction form
    231,284/264,499 = 264,499/x
  3. Step 3: Cross multiply
    231,284x = 264,499 × 264,499
  4. Step 4: Simplify right side
    231,284x = 69,959,721,001
  5. Step 5: Solve for x
    x = 69,959,721,001/231,284
  6. Step 6: Final answer
    x = 302,484.05

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.