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Finding the Third Proportional to 146,410 and 214,029

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Solution

The third proportional to 146,410 and 214,029 is: 312,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,410 : 214,029 = 214,029 : x
  2. Step 2: Convert to fraction form
    146,410/214,029 = 214,029/x
  3. Step 3: Cross multiply
    146,410x = 214,029 × 214,029
  4. Step 4: Simplify right side
    146,410x = 45,808,412,841
  5. Step 5: Solve for x
    x = 45,808,412,841/146,410
  6. Step 6: Final answer
    x = 312,877.62

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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.