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Finding the Third Proportional to 214,866.75 and 455,346

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Solution

The third proportional to 214,866.75 and 455,346 is: 964,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,866.75 : 455,346 = 455,346 : x
  2. Step 2: Convert to fraction form
    214,866.75/455,346 = 455,346/x
  3. Step 3: Cross multiply
    214,866.75x = 455,346 × 455,346
  4. Step 4: Simplify right side
    214,866.75x = 207,339,979,716
  5. Step 5: Solve for x
    x = 207,339,979,716/214,866.75
  6. Step 6: Final answer
    x = 964,970.06

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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.