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Finding the Third Proportional to 184,485 and 398,038

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Solution

The third proportional to 184,485 and 398,038 is: 858,792.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,485 : 398,038 = 398,038 : x
  2. Step 2: Convert to fraction form
    184,485/398,038 = 398,038/x
  3. Step 3: Cross multiply
    184,485x = 398,038 × 398,038
  4. Step 4: Simplify right side
    184,485x = 158,434,249,444
  5. Step 5: Solve for x
    x = 158,434,249,444/184,485
  6. Step 6: Final answer
    x = 858,792.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.