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Finding the Third Proportional to 118,864.50 and 184,644.75

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Solution

The third proportional to 118,864.50 and 184,644.75 is: 286,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,864.50 : 184,644.75 = 184,644.75 : x
  2. Step 2: Convert to fraction form
    118,864.50/184,644.75 = 184,644.75/x
  3. Step 3: Cross multiply
    118,864.50x = 184,644.75 × 184,644.75
  4. Step 4: Simplify right side
    118,864.50x = 34,093,683,702.56
  5. Step 5: Solve for x
    x = 34,093,683,702.56/118,864.50
  6. Step 6: Final answer
    x = 286,828.14

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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.