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Finding the Third Proportional to 149,470 and 228,583

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Solution

The third proportional to 149,470 and 228,583 is: 349,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,470 : 228,583 = 228,583 : x
  2. Step 2: Convert to fraction form
    149,470/228,583 = 228,583/x
  3. Step 3: Cross multiply
    149,470x = 228,583 × 228,583
  4. Step 4: Simplify right side
    149,470x = 52,250,187,889
  5. Step 5: Solve for x
    x = 52,250,187,889/149,470
  6. Step 6: Final answer
    x = 349,569.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.