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Finding the Third Proportional to 194,807 and 292,216

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Solution

The third proportional to 194,807 and 292,216 is: 438,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,807 : 292,216 = 292,216 : x
  2. Step 2: Convert to fraction form
    194,807/292,216 = 292,216/x
  3. Step 3: Cross multiply
    194,807x = 292,216 × 292,216
  4. Step 4: Simplify right side
    194,807x = 85,390,190,656
  5. Step 5: Solve for x
    x = 85,390,190,656/194,807
  6. Step 6: Final answer
    x = 438,332.25

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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.