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Finding the Third Proportional to 189,595.50 and 402,519

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Solution

The third proportional to 189,595.50 and 402,519 is: 854,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,595.50 : 402,519 = 402,519 : x
  2. Step 2: Convert to fraction form
    189,595.50/402,519 = 402,519/x
  3. Step 3: Cross multiply
    189,595.50x = 402,519 × 402,519
  4. Step 4: Simplify right side
    189,595.50x = 162,021,545,361
  5. Step 5: Solve for x
    x = 162,021,545,361/189,595.50
  6. Step 6: Final answer
    x = 854,564.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.