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Finding the Third Proportional to 213,238.25 and 456,001

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Solution

The third proportional to 213,238.25 and 456,001 is: 975,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,238.25 : 456,001 = 456,001 : x
  2. Step 2: Convert to fraction form
    213,238.25/456,001 = 456,001/x
  3. Step 3: Cross multiply
    213,238.25x = 456,001 × 456,001
  4. Step 4: Simplify right side
    213,238.25x = 207,936,912,001
  5. Step 5: Solve for x
    x = 207,936,912,001/213,238.25
  6. Step 6: Final answer
    x = 975,138.90

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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.