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Finding the Third Proportional to 151,762 and 228,129

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Solution

The third proportional to 151,762 and 228,129 is: 342,924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,762 : 228,129 = 228,129 : x
  2. Step 2: Convert to fraction form
    151,762/228,129 = 228,129/x
  3. Step 3: Cross multiply
    151,762x = 228,129 × 228,129
  4. Step 4: Simplify right side
    151,762x = 52,042,840,641
  5. Step 5: Solve for x
    x = 52,042,840,641/151,762
  6. Step 6: Final answer
    x = 342,924.06

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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.