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Finding the Third Proportional to 242,718 and 364,077

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Solution

The third proportional to 242,718 and 364,077 is: 546,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,718 : 364,077 = 364,077 : x
  2. Step 2: Convert to fraction form
    242,718/364,077 = 364,077/x
  3. Step 3: Cross multiply
    242,718x = 364,077 × 364,077
  4. Step 4: Simplify right side
    242,718x = 132,552,061,929
  5. Step 5: Solve for x
    x = 132,552,061,929/242,718
  6. Step 6: Final answer
    x = 546,115.50

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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.