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Finding the Third Proportional to 163,298 and 247,407

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Solution

The third proportional to 163,298 and 247,407 is: 374,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,298 : 247,407 = 247,407 : x
  2. Step 2: Convert to fraction form
    163,298/247,407 = 247,407/x
  3. Step 3: Cross multiply
    163,298x = 247,407 × 247,407
  4. Step 4: Simplify right side
    163,298x = 61,210,223,649
  5. Step 5: Solve for x
    x = 61,210,223,649/163,298
  6. Step 6: Final answer
    x = 374,837.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.