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Finding the Third Proportional to 223,157.50 and 491,585

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Solution

The third proportional to 223,157.50 and 491,585 is: 1,082,893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,157.50 : 491,585 = 491,585 : x
  2. Step 2: Convert to fraction form
    223,157.50/491,585 = 491,585/x
  3. Step 3: Cross multiply
    223,157.50x = 491,585 × 491,585
  4. Step 4: Simplify right side
    223,157.50x = 241,655,812,225
  5. Step 5: Solve for x
    x = 241,655,812,225/223,157.50
  6. Step 6: Final answer
    x = 1,082,893.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.