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Finding the Third Proportional to 174,999 and 374,784

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Solution

The third proportional to 174,999 and 374,784 is: 802,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,999 : 374,784 = 374,784 : x
  2. Step 2: Convert to fraction form
    174,999/374,784 = 374,784/x
  3. Step 3: Cross multiply
    174,999x = 374,784 × 374,784
  4. Step 4: Simplify right side
    174,999x = 140,463,046,656
  5. Step 5: Solve for x
    x = 140,463,046,656/174,999
  6. Step 6: Final answer
    x = 802,650.57

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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.