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Finding the Third Proportional to 163,893 and 247,338

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Solution

The third proportional to 163,893 and 247,338 is: 373,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,893 : 247,338 = 247,338 : x
  2. Step 2: Convert to fraction form
    163,893/247,338 = 247,338/x
  3. Step 3: Cross multiply
    163,893x = 247,338 × 247,338
  4. Step 4: Simplify right side
    163,893x = 61,176,086,244
  5. Step 5: Solve for x
    x = 61,176,086,244/163,893
  6. Step 6: Final answer
    x = 373,268.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.