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Finding the Third Proportional to 174,709 and 374,348

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Solution

The third proportional to 174,709 and 374,348 is: 802,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,709 : 374,348 = 374,348 : x
  2. Step 2: Convert to fraction form
    174,709/374,348 = 374,348/x
  3. Step 3: Cross multiply
    174,709x = 374,348 × 374,348
  4. Step 4: Simplify right side
    174,709x = 140,136,425,104
  5. Step 5: Solve for x
    x = 140,136,425,104/174,709
  6. Step 6: Final answer
    x = 802,113.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.