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Finding the Third Proportional to 109,454 and 238,078

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Solution

The third proportional to 109,454 and 238,078 is: 517,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,454 : 238,078 = 238,078 : x
  2. Step 2: Convert to fraction form
    109,454/238,078 = 238,078/x
  3. Step 3: Cross multiply
    109,454x = 238,078 × 238,078
  4. Step 4: Simplify right side
    109,454x = 56,681,134,084
  5. Step 5: Solve for x
    x = 56,681,134,084/109,454
  6. Step 6: Final answer
    x = 517,853.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.