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Finding the Third Proportional to 197,127 and 299,586

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Solution

The third proportional to 197,127 and 299,586 is: 455,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,127 : 299,586 = 299,586 : x
  2. Step 2: Convert to fraction form
    197,127/299,586 = 299,586/x
  3. Step 3: Cross multiply
    197,127x = 299,586 × 299,586
  4. Step 4: Simplify right side
    197,127x = 89,751,771,396
  5. Step 5: Solve for x
    x = 89,751,771,396/197,127
  6. Step 6: Final answer
    x = 455,299.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.