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Finding the Third Proportional to 175,336 and 248,097

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Solution

The third proportional to 175,336 and 248,097 is: 351,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,336 : 248,097 = 248,097 : x
  2. Step 2: Convert to fraction form
    175,336/248,097 = 248,097/x
  3. Step 3: Cross multiply
    175,336x = 248,097 × 248,097
  4. Step 4: Simplify right side
    175,336x = 61,552,121,409
  5. Step 5: Solve for x
    x = 61,552,121,409/175,336
  6. Step 6: Final answer
    x = 351,052.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.