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Finding the Third Proportional to 145,920 and 197,226

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Solution

The third proportional to 145,920 and 197,226 is: 266,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,920 : 197,226 = 197,226 : x
  2. Step 2: Convert to fraction form
    145,920/197,226 = 197,226/x
  3. Step 3: Cross multiply
    145,920x = 197,226 × 197,226
  4. Step 4: Simplify right side
    145,920x = 38,898,095,076
  5. Step 5: Solve for x
    x = 38,898,095,076/145,920
  6. Step 6: Final answer
    x = 266,571.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.