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Finding the Third Proportional to 76,354.50 and 164,415

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Solution

The third proportional to 76,354.50 and 164,415 is: 354,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,354.50 : 164,415 = 164,415 : x
  2. Step 2: Convert to fraction form
    76,354.50/164,415 = 164,415/x
  3. Step 3: Cross multiply
    76,354.50x = 164,415 × 164,415
  4. Step 4: Simplify right side
    76,354.50x = 27,032,292,225
  5. Step 5: Solve for x
    x = 27,032,292,225/76,354.50
  6. Step 6: Final answer
    x = 354,036.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.