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Finding the Third Proportional to 196,342.88 and 288,276.75

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Solution

The third proportional to 196,342.88 and 288,276.75 is: 423,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,342.88 : 288,276.75 = 288,276.75 : x
  2. Step 2: Convert to fraction form
    196,342.88/288,276.75 = 288,276.75/x
  3. Step 3: Cross multiply
    196,342.88x = 288,276.75 × 288,276.75
  4. Step 4: Simplify right side
    196,342.88x = 83,103,484,590.56
  5. Step 5: Solve for x
    x = 83,103,484,590.56/196,342.88
  6. Step 6: Final answer
    x = 423,256.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.