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Finding the Third Proportional to 213,236.25 and 455,997

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Solution

The third proportional to 213,236.25 and 455,997 is: 975,130.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,236.25 : 455,997 = 455,997 : x
  2. Step 2: Convert to fraction form
    213,236.25/455,997 = 455,997/x
  3. Step 3: Cross multiply
    213,236.25x = 455,997 × 455,997
  4. Step 4: Simplify right side
    213,236.25x = 207,933,264,009
  5. Step 5: Solve for x
    x = 207,933,264,009/213,236.25
  6. Step 6: Final answer
    x = 975,130.94

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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.