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Finding the Third Proportional to 174,717 and 374,332

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Solution

The third proportional to 174,717 and 374,332 is: 802,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,717 : 374,332 = 374,332 : x
  2. Step 2: Convert to fraction form
    174,717/374,332 = 374,332/x
  3. Step 3: Cross multiply
    174,717x = 374,332 × 374,332
  4. Step 4: Simplify right side
    174,717x = 140,124,446,224
  5. Step 5: Solve for x
    x = 140,124,446,224/174,717
  6. Step 6: Final answer
    x = 802,008.08

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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.