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Finding the Third Proportional to 172,886.25 and 266,997

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Solution

The third proportional to 172,886.25 and 266,997 is: 412,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,886.25 : 266,997 = 266,997 : x
  2. Step 2: Convert to fraction form
    172,886.25/266,997 = 266,997/x
  3. Step 3: Cross multiply
    172,886.25x = 266,997 × 266,997
  4. Step 4: Simplify right side
    172,886.25x = 71,287,398,009
  5. Step 5: Solve for x
    x = 71,287,398,009/172,886.25
  6. Step 6: Final answer
    x = 412,337.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.