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Finding the Third Proportional to 172,076.50 and 369,057

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Solution

The third proportional to 172,076.50 and 369,057 is: 791,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,076.50 : 369,057 = 369,057 : x
  2. Step 2: Convert to fraction form
    172,076.50/369,057 = 369,057/x
  3. Step 3: Cross multiply
    172,076.50x = 369,057 × 369,057
  4. Step 4: Simplify right side
    172,076.50x = 136,203,069,249
  5. Step 5: Solve for x
    x = 136,203,069,249/172,076.50
  6. Step 6: Final answer
    x = 791,526.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.