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Finding the Third Proportional to 98,307 and 208,368

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Solution

The third proportional to 98,307 and 208,368 is: 441,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,307 : 208,368 = 208,368 : x
  2. Step 2: Convert to fraction form
    98,307/208,368 = 208,368/x
  3. Step 3: Cross multiply
    98,307x = 208,368 × 208,368
  4. Step 4: Simplify right side
    98,307x = 43,417,223,424
  5. Step 5: Solve for x
    x = 43,417,223,424/98,307
  6. Step 6: Final answer
    x = 441,649.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.