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Finding the Third Proportional to 146,060 and 235,154

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Solution

The third proportional to 146,060 and 235,154 is: 378,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,060 : 235,154 = 235,154 : x
  2. Step 2: Convert to fraction form
    146,060/235,154 = 235,154/x
  3. Step 3: Cross multiply
    146,060x = 235,154 × 235,154
  4. Step 4: Simplify right side
    146,060x = 55,297,403,716
  5. Step 5: Solve for x
    x = 55,297,403,716/146,060
  6. Step 6: Final answer
    x = 378,593.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.