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Finding the Third Proportional to 267,310 and 353,335

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Solution

The third proportional to 267,310 and 353,335 is: 467,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,310 : 353,335 = 353,335 : x
  2. Step 2: Convert to fraction form
    267,310/353,335 = 353,335/x
  3. Step 3: Cross multiply
    267,310x = 353,335 × 353,335
  4. Step 4: Simplify right side
    267,310x = 124,845,622,225
  5. Step 5: Solve for x
    x = 124,845,622,225/267,310
  6. Step 6: Final answer
    x = 467,044.34

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.