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Finding the Third Proportional to 118,798 and 184,545

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Solution

The third proportional to 118,798 and 184,545 is: 286,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,798 : 184,545 = 184,545 : x
  2. Step 2: Convert to fraction form
    118,798/184,545 = 184,545/x
  3. Step 3: Cross multiply
    118,798x = 184,545 × 184,545
  4. Step 4: Simplify right side
    118,798x = 34,056,857,025
  5. Step 5: Solve for x
    x = 34,056,857,025/118,798
  6. Step 6: Final answer
    x = 286,678.71

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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.