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Finding the Third Proportional to 242,578 and 368,764

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Solution

The third proportional to 242,578 and 368,764 is: 560,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,578 : 368,764 = 368,764 : x
  2. Step 2: Convert to fraction form
    242,578/368,764 = 368,764/x
  3. Step 3: Cross multiply
    242,578x = 368,764 × 368,764
  4. Step 4: Simplify right side
    242,578x = 135,986,887,696
  5. Step 5: Solve for x
    x = 135,986,887,696/242,578
  6. Step 6: Final answer
    x = 560,590.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.