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Finding the Third Proportional to 215,663.50 and 453,636.50

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Solution

The third proportional to 215,663.50 and 453,636.50 is: 954,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,663.50 : 453,636.50 = 453,636.50 : x
  2. Step 2: Convert to fraction form
    215,663.50/453,636.50 = 453,636.50/x
  3. Step 3: Cross multiply
    215,663.50x = 453,636.50 × 453,636.50
  4. Step 4: Simplify right side
    215,663.50x = 205,786,074,132.25
  5. Step 5: Solve for x
    x = 205,786,074,132.25/215,663.50
  6. Step 6: Final answer
    x = 954,199.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.