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Finding the Third Proportional to 194,823 and 292,239

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Solution

The third proportional to 194,823 and 292,239 is: 438,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,823 : 292,239 = 292,239 : x
  2. Step 2: Convert to fraction form
    194,823/292,239 = 292,239/x
  3. Step 3: Cross multiply
    194,823x = 292,239 × 292,239
  4. Step 4: Simplify right side
    194,823x = 85,403,633,121
  5. Step 5: Solve for x
    x = 85,403,633,121/194,823
  6. Step 6: Final answer
    x = 438,365.25

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