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Finding the Third Proportional to 202,566.94 and 435,157.88

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Solution

The third proportional to 202,566.94 and 435,157.88 is: 934,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,566.94 : 435,157.88 = 435,157.88 : x
  2. Step 2: Convert to fraction form
    202,566.94/435,157.88 = 435,157.88/x
  3. Step 3: Cross multiply
    202,566.94x = 435,157.88 × 435,157.88
  4. Step 4: Simplify right side
    202,566.94x = 189,362,376,174.52
  5. Step 5: Solve for x
    x = 189,362,376,174.52/202,566.94
  6. Step 6: Final answer
    x = 934,813.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.