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Finding the Third Proportional to 215,030.25 and 455,697

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Solution

The third proportional to 215,030.25 and 455,697 is: 965,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,030.25 : 455,697 = 455,697 : x
  2. Step 2: Convert to fraction form
    215,030.25/455,697 = 455,697/x
  3. Step 3: Cross multiply
    215,030.25x = 455,697 × 455,697
  4. Step 4: Simplify right side
    215,030.25x = 207,659,755,809
  5. Step 5: Solve for x
    x = 207,659,755,809/215,030.25
  6. Step 6: Final answer
    x = 965,723.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.