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Finding the Third Proportional to 195,276 and 292,914

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Solution

The third proportional to 195,276 and 292,914 is: 439,371

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,276 : 292,914 = 292,914 : x
  2. Step 2: Convert to fraction form
    195,276/292,914 = 292,914/x
  3. Step 3: Cross multiply
    195,276x = 292,914 × 292,914
  4. Step 4: Simplify right side
    195,276x = 85,798,611,396
  5. Step 5: Solve for x
    x = 85,798,611,396/195,276
  6. Step 6: Final answer
    x = 439,371

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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.