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Finding the Third Proportional to 152,021 and 228,944

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Solution

The third proportional to 152,021 and 228,944 is: 344,790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,021 : 228,944 = 228,944 : x
  2. Step 2: Convert to fraction form
    152,021/228,944 = 228,944/x
  3. Step 3: Cross multiply
    152,021x = 228,944 × 228,944
  4. Step 4: Simplify right side
    152,021x = 52,415,355,136
  5. Step 5: Solve for x
    x = 52,415,355,136/152,021
  6. Step 6: Final answer
    x = 344,790.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.