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Finding the Third Proportional to 117,818 and 242,548

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Solution

The third proportional to 117,818 and 242,548 is: 499,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,818 : 242,548 = 242,548 : x
  2. Step 2: Convert to fraction form
    117,818/242,548 = 242,548/x
  3. Step 3: Cross multiply
    117,818x = 242,548 × 242,548
  4. Step 4: Simplify right side
    117,818x = 58,829,532,304
  5. Step 5: Solve for x
    x = 58,829,532,304/117,818
  6. Step 6: Final answer
    x = 499,325.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.