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Finding the Third Proportional to 165,490 and 248,011

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Solution

The third proportional to 165,490 and 248,011 is: 371,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,490 : 248,011 = 248,011 : x
  2. Step 2: Convert to fraction form
    165,490/248,011 = 248,011/x
  3. Step 3: Cross multiply
    165,490x = 248,011 × 248,011
  4. Step 4: Simplify right side
    165,490x = 61,509,456,121
  5. Step 5: Solve for x
    x = 61,509,456,121/165,490
  6. Step 6: Final answer
    x = 371,680.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.