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Finding the Third Proportional to 197,127 and 308,827

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Solution

The third proportional to 197,127 and 308,827 is: 483,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,127 : 308,827 = 308,827 : x
  2. Step 2: Convert to fraction form
    197,127/308,827 = 308,827/x
  3. Step 3: Cross multiply
    197,127x = 308,827 × 308,827
  4. Step 4: Simplify right side
    197,127x = 95,374,115,929
  5. Step 5: Solve for x
    x = 95,374,115,929/197,127
  6. Step 6: Final answer
    x = 483,820.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.