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Finding the Third Proportional to 242,887 and 367,719

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Solution

The third proportional to 242,887 and 367,719 is: 556,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,887 : 367,719 = 367,719 : x
  2. Step 2: Convert to fraction form
    242,887/367,719 = 367,719/x
  3. Step 3: Cross multiply
    242,887x = 367,719 × 367,719
  4. Step 4: Simplify right side
    242,887x = 135,217,262,961
  5. Step 5: Solve for x
    x = 135,217,262,961/242,887
  6. Step 6: Final answer
    x = 556,708.52

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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.