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Finding the Third Proportional to 153,252 and 228,942

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Solution

The third proportional to 153,252 and 228,942 is: 342,014.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,252 : 228,942 = 228,942 : x
  2. Step 2: Convert to fraction form
    153,252/228,942 = 228,942/x
  3. Step 3: Cross multiply
    153,252x = 228,942 × 228,942
  4. Step 4: Simplify right side
    153,252x = 52,414,439,364
  5. Step 5: Solve for x
    x = 52,414,439,364/153,252
  6. Step 6: Final answer
    x = 342,014.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.