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Finding the Third Proportional to 103,845 and 243,142.50

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Solution

The third proportional to 103,845 and 243,142.50 is: 569,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,845 : 243,142.50 = 243,142.50 : x
  2. Step 2: Convert to fraction form
    103,845/243,142.50 = 243,142.50/x
  3. Step 3: Cross multiply
    103,845x = 243,142.50 × 243,142.50
  4. Step 4: Simplify right side
    103,845x = 59,118,275,306.25
  5. Step 5: Solve for x
    x = 59,118,275,306.25/103,845
  6. Step 6: Final answer
    x = 569,293.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.