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Finding the Third Proportional to 214,862.25 and 455,337

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Solution

The third proportional to 214,862.25 and 455,337 is: 964,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,862.25 : 455,337 = 455,337 : x
  2. Step 2: Convert to fraction form
    214,862.25/455,337 = 455,337/x
  3. Step 3: Cross multiply
    214,862.25x = 455,337 × 455,337
  4. Step 4: Simplify right side
    214,862.25x = 207,331,783,569
  5. Step 5: Solve for x
    x = 207,331,783,569/214,862.25
  6. Step 6: Final answer
    x = 964,952.12

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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.