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Finding the Third Proportional to 242,723 and 364,084

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Solution

The third proportional to 242,723 and 364,084 is: 546,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,723 : 364,084 = 364,084 : x
  2. Step 2: Convert to fraction form
    242,723/364,084 = 364,084/x
  3. Step 3: Cross multiply
    242,723x = 364,084 × 364,084
  4. Step 4: Simplify right side
    242,723x = 132,557,159,056
  5. Step 5: Solve for x
    x = 132,557,159,056/242,723
  6. Step 6: Final answer
    x = 546,125.25

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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.