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Finding the Third Proportional to 237,407 and 340,078

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Solution

The third proportional to 237,407 and 340,078 is: 487,150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,407 : 340,078 = 340,078 : x
  2. Step 2: Convert to fraction form
    237,407/340,078 = 340,078/x
  3. Step 3: Cross multiply
    237,407x = 340,078 × 340,078
  4. Step 4: Simplify right side
    237,407x = 115,653,046,084
  5. Step 5: Solve for x
    x = 115,653,046,084/237,407
  6. Step 6: Final answer
    x = 487,150.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.