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Finding the Third Proportional to 113,417 and 247,558

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Solution

The third proportional to 113,417 and 247,558 is: 540,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,417 : 247,558 = 247,558 : x
  2. Step 2: Convert to fraction form
    113,417/247,558 = 247,558/x
  3. Step 3: Cross multiply
    113,417x = 247,558 × 247,558
  4. Step 4: Simplify right side
    113,417x = 61,284,963,364
  5. Step 5: Solve for x
    x = 61,284,963,364/113,417
  6. Step 6: Final answer
    x = 540,350.77

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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.