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Finding the Third Proportional to 247,152 and 369,876

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Solution

The third proportional to 247,152 and 369,876 is: 553,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,152 : 369,876 = 369,876 : x
  2. Step 2: Convert to fraction form
    247,152/369,876 = 369,876/x
  3. Step 3: Cross multiply
    247,152x = 369,876 × 369,876
  4. Step 4: Simplify right side
    247,152x = 136,808,255,376
  5. Step 5: Solve for x
    x = 136,808,255,376/247,152
  6. Step 6: Final answer
    x = 553,538.94

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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.