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Finding the Third Proportional to 242,838 and 367,648

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Solution

The third proportional to 242,838 and 367,648 is: 556,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,838 : 367,648 = 367,648 : x
  2. Step 2: Convert to fraction form
    242,838/367,648 = 367,648/x
  3. Step 3: Cross multiply
    242,838x = 367,648 × 367,648
  4. Step 4: Simplify right side
    242,838x = 135,165,051,904
  5. Step 5: Solve for x
    x = 135,165,051,904/242,838
  6. Step 6: Final answer
    x = 556,605.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.