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Finding the Third Proportional to 153,027 and 230,127

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Solution

The third proportional to 153,027 and 230,127 is: 346,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,027 : 230,127 = 230,127 : x
  2. Step 2: Convert to fraction form
    153,027/230,127 = 230,127/x
  3. Step 3: Cross multiply
    153,027x = 230,127 × 230,127
  4. Step 4: Simplify right side
    153,027x = 52,958,436,129
  5. Step 5: Solve for x
    x = 52,958,436,129/153,027
  6. Step 6: Final answer
    x = 346,072.50

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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.