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Finding the Third Proportional to 213,238.13 and 456,000.75

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Solution

The third proportional to 213,238.13 and 456,000.75 is: 975,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,238.13 : 456,000.75 = 456,000.75 : x
  2. Step 2: Convert to fraction form
    213,238.13/456,000.75 = 456,000.75/x
  3. Step 3: Cross multiply
    213,238.13x = 456,000.75 × 456,000.75
  4. Step 4: Simplify right side
    213,238.13x = 207,936,684,000.56
  5. Step 5: Solve for x
    x = 207,936,684,000.56/213,238.13
  6. Step 6: Final answer
    x = 975,138.40

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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.