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Finding the Third Proportional to 233,931 and 364,558.50

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Solution

The third proportional to 233,931 and 364,558.50 is: 568,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,931 : 364,558.50 = 364,558.50 : x
  2. Step 2: Convert to fraction form
    233,931/364,558.50 = 364,558.50/x
  3. Step 3: Cross multiply
    233,931x = 364,558.50 × 364,558.50
  4. Step 4: Simplify right side
    233,931x = 132,902,899,922.25
  5. Step 5: Solve for x
    x = 132,902,899,922.25/233,931
  6. Step 6: Final answer
    x = 568,128.64

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.