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Finding the Third Proportional to 184,583 and 289,178

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Solution

The third proportional to 184,583 and 289,178 is: 453,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,583 : 289,178 = 289,178 : x
  2. Step 2: Convert to fraction form
    184,583/289,178 = 289,178/x
  3. Step 3: Cross multiply
    184,583x = 289,178 × 289,178
  4. Step 4: Simplify right side
    184,583x = 83,623,915,684
  5. Step 5: Solve for x
    x = 83,623,915,684/184,583
  6. Step 6: Final answer
    x = 453,042.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.