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Finding the Third Proportional to 189,972 and 296,595

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Solution

The third proportional to 189,972 and 296,595 is: 463,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,972 : 296,595 = 296,595 : x
  2. Step 2: Convert to fraction form
    189,972/296,595 = 296,595/x
  3. Step 3: Cross multiply
    189,972x = 296,595 × 296,595
  4. Step 4: Simplify right side
    189,972x = 87,968,594,025
  5. Step 5: Solve for x
    x = 87,968,594,025/189,972
  6. Step 6: Final answer
    x = 463,060.84

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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.