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Finding the Third Proportional to 247,854 and 374,106

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Solution

The third proportional to 247,854 and 374,106 is: 564,668.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,854 : 374,106 = 374,106 : x
  2. Step 2: Convert to fraction form
    247,854/374,106 = 374,106/x
  3. Step 3: Cross multiply
    247,854x = 374,106 × 374,106
  4. Step 4: Simplify right side
    247,854x = 139,955,299,236
  5. Step 5: Solve for x
    x = 139,955,299,236/247,854
  6. Step 6: Final answer
    x = 564,668.31

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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.