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Finding the Third Proportional to 267,308 and 353,332

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Solution

The third proportional to 267,308 and 353,332 is: 467,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,308 : 353,332 = 353,332 : x
  2. Step 2: Convert to fraction form
    267,308/353,332 = 353,332/x
  3. Step 3: Cross multiply
    267,308x = 353,332 × 353,332
  4. Step 4: Simplify right side
    267,308x = 124,843,502,224
  5. Step 5: Solve for x
    x = 124,843,502,224/267,308
  6. Step 6: Final answer
    x = 467,039.90

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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.