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Finding the Third Proportional to 184,804 and 286,038

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Solution

The third proportional to 184,804 and 286,038 is: 442,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,804 : 286,038 = 286,038 : x
  2. Step 2: Convert to fraction form
    184,804/286,038 = 286,038/x
  3. Step 3: Cross multiply
    184,804x = 286,038 × 286,038
  4. Step 4: Simplify right side
    184,804x = 81,817,737,444
  5. Step 5: Solve for x
    x = 81,817,737,444/184,804
  6. Step 6: Final answer
    x = 442,727.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.