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Finding the Third Proportional to 174,101 and 381,004

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Solution

The third proportional to 174,101 and 381,004 is: 833,792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,101 : 381,004 = 381,004 : x
  2. Step 2: Convert to fraction form
    174,101/381,004 = 381,004/x
  3. Step 3: Cross multiply
    174,101x = 381,004 × 381,004
  4. Step 4: Simplify right side
    174,101x = 145,164,048,016
  5. Step 5: Solve for x
    x = 145,164,048,016/174,101
  6. Step 6: Final answer
    x = 833,792.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.