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Finding the Third Proportional to 145,297 and 218,094

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Solution

The third proportional to 145,297 and 218,094 is: 327,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,297 : 218,094 = 218,094 : x
  2. Step 2: Convert to fraction form
    145,297/218,094 = 218,094/x
  3. Step 3: Cross multiply
    145,297x = 218,094 × 218,094
  4. Step 4: Simplify right side
    145,297x = 47,564,992,836
  5. Step 5: Solve for x
    x = 47,564,992,836/145,297
  6. Step 6: Final answer
    x = 327,363.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.