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Finding the Third Proportional to 118,886 and 247,594

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Solution

The third proportional to 118,886 and 247,594 is: 515,643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,886 : 247,594 = 247,594 : x
  2. Step 2: Convert to fraction form
    118,886/247,594 = 247,594/x
  3. Step 3: Cross multiply
    118,886x = 247,594 × 247,594
  4. Step 4: Simplify right side
    118,886x = 61,302,788,836
  5. Step 5: Solve for x
    x = 61,302,788,836/118,886
  6. Step 6: Final answer
    x = 515,643.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.