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Finding the Third Proportional to 88,308 and 208,310

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Solution

The third proportional to 88,308 and 208,310 is: 491,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,308 : 208,310 = 208,310 : x
  2. Step 2: Convert to fraction form
    88,308/208,310 = 208,310/x
  3. Step 3: Cross multiply
    88,308x = 208,310 × 208,310
  4. Step 4: Simplify right side
    88,308x = 43,393,056,100
  5. Step 5: Solve for x
    x = 43,393,056,100/88,308
  6. Step 6: Final answer
    x = 491,383.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.