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Finding the Third Proportional to 130,827 and 197,007

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Solution

The third proportional to 130,827 and 197,007 is: 296,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,827 : 197,007 = 197,007 : x
  2. Step 2: Convert to fraction form
    130,827/197,007 = 197,007/x
  3. Step 3: Cross multiply
    130,827x = 197,007 × 197,007
  4. Step 4: Simplify right side
    130,827x = 38,811,758,049
  5. Step 5: Solve for x
    x = 38,811,758,049/130,827
  6. Step 6: Final answer
    x = 296,664.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.