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Finding the Third Proportional to 243,027 and 364,537.50

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Solution

The third proportional to 243,027 and 364,537.50 is: 546,801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,027 : 364,537.50 = 364,537.50 : x
  2. Step 2: Convert to fraction form
    243,027/364,537.50 = 364,537.50/x
  3. Step 3: Cross multiply
    243,027x = 364,537.50 × 364,537.50
  4. Step 4: Simplify right side
    243,027x = 132,887,588,906.25
  5. Step 5: Solve for x
    x = 132,887,588,906.25/243,027
  6. Step 6: Final answer
    x = 546,801.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.