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Finding the Third Proportional to 113,078 and 243,328

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Solution

The third proportional to 113,078 and 243,328 is: 523,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,078 : 243,328 = 243,328 : x
  2. Step 2: Convert to fraction form
    113,078/243,328 = 243,328/x
  3. Step 3: Cross multiply
    113,078x = 243,328 × 243,328
  4. Step 4: Simplify right side
    113,078x = 59,208,515,584
  5. Step 5: Solve for x
    x = 59,208,515,584/113,078
  6. Step 6: Final answer
    x = 523,607.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.