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Finding the Third Proportional to 118,608 and 184,714.50

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Solution

The third proportional to 118,608 and 184,714.50 is: 287,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,608 : 184,714.50 = 184,714.50 : x
  2. Step 2: Convert to fraction form
    118,608/184,714.50 = 184,714.50/x
  3. Step 3: Cross multiply
    118,608x = 184,714.50 × 184,714.50
  4. Step 4: Simplify right side
    118,608x = 34,119,446,510.25
  5. Step 5: Solve for x
    x = 34,119,446,510.25/118,608
  6. Step 6: Final answer
    x = 287,665.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.