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Finding the Third Proportional to 207,169.50 and 435,235.88

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Solution

The third proportional to 207,169.50 and 435,235.88 is: 914,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,169.50 : 435,235.88 = 435,235.88 : x
  2. Step 2: Convert to fraction form
    207,169.50/435,235.88 = 435,235.88/x
  3. Step 3: Cross multiply
    207,169.50x = 435,235.88 × 435,235.88
  4. Step 4: Simplify right side
    207,169.50x = 189,430,266,887.02
  5. Step 5: Solve for x
    x = 189,430,266,887.02/207,169.50
  6. Step 6: Final answer
    x = 914,373.34

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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.