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Finding the Third Proportional to 134,772 and 197,246

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Solution

The third proportional to 134,772 and 197,246 is: 288,680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,772 : 197,246 = 197,246 : x
  2. Step 2: Convert to fraction form
    134,772/197,246 = 197,246/x
  3. Step 3: Cross multiply
    134,772x = 197,246 × 197,246
  4. Step 4: Simplify right side
    134,772x = 38,905,984,516
  5. Step 5: Solve for x
    x = 38,905,984,516/134,772
  6. Step 6: Final answer
    x = 288,680.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.