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Finding the Third Proportional to 115,549.50 and 248,352

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Solution

The third proportional to 115,549.50 and 248,352 is: 533,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,549.50 : 248,352 = 248,352 : x
  2. Step 2: Convert to fraction form
    115,549.50/248,352 = 248,352/x
  3. Step 3: Cross multiply
    115,549.50x = 248,352 × 248,352
  4. Step 4: Simplify right side
    115,549.50x = 61,678,715,904
  5. Step 5: Solve for x
    x = 61,678,715,904/115,549.50
  6. Step 6: Final answer
    x = 533,786.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.