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Finding the Third Proportional to 189,725.50 and 404,030

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Solution

The third proportional to 189,725.50 and 404,030 is: 860,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,725.50 : 404,030 = 404,030 : x
  2. Step 2: Convert to fraction form
    189,725.50/404,030 = 404,030/x
  3. Step 3: Cross multiply
    189,725.50x = 404,030 × 404,030
  4. Step 4: Simplify right side
    189,725.50x = 163,240,240,900
  5. Step 5: Solve for x
    x = 163,240,240,900/189,725.50
  6. Step 6: Final answer
    x = 860,402.22

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.