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Finding the Third Proportional to 189,768 and 296,154

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Solution

The third proportional to 189,768 and 296,154 is: 462,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,768 : 296,154 = 296,154 : x
  2. Step 2: Convert to fraction form
    189,768/296,154 = 296,154/x
  3. Step 3: Cross multiply
    189,768x = 296,154 × 296,154
  4. Step 4: Simplify right side
    189,768x = 87,707,191,716
  5. Step 5: Solve for x
    x = 87,707,191,716/189,768
  6. Step 6: Final answer
    x = 462,181.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.