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Finding the Third Proportional to 117,408 and 247,776

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Solution

The third proportional to 117,408 and 247,776 is: 522,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,408 : 247,776 = 247,776 : x
  2. Step 2: Convert to fraction form
    117,408/247,776 = 247,776/x
  3. Step 3: Cross multiply
    117,408x = 247,776 × 247,776
  4. Step 4: Simplify right side
    117,408x = 61,392,946,176
  5. Step 5: Solve for x
    x = 61,392,946,176/117,408
  6. Step 6: Final answer
    x = 522,902.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.