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Finding the Third Proportional to 236,743 and 318,967.50

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Solution

The third proportional to 236,743 and 318,967.50 is: 429,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,743 : 318,967.50 = 318,967.50 : x
  2. Step 2: Convert to fraction form
    236,743/318,967.50 = 318,967.50/x
  3. Step 3: Cross multiply
    236,743x = 318,967.50 × 318,967.50
  4. Step 4: Simplify right side
    236,743x = 101,740,266,056.25
  5. Step 5: Solve for x
    x = 101,740,266,056.25/236,743
  6. Step 6: Final answer
    x = 429,749.84

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.