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Finding the Third Proportional to 196,752 and 295,272

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Solution

The third proportional to 196,752 and 295,272 is: 443,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,752 : 295,272 = 295,272 : x
  2. Step 2: Convert to fraction form
    196,752/295,272 = 295,272/x
  3. Step 3: Cross multiply
    196,752x = 295,272 × 295,272
  4. Step 4: Simplify right side
    196,752x = 87,185,553,984
  5. Step 5: Solve for x
    x = 87,185,553,984/196,752
  6. Step 6: Final answer
    x = 443,124.11

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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.