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Finding the Third Proportional to 196,788 and 297,528

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Solution

The third proportional to 196,788 and 297,528 is: 449,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,788 : 297,528 = 297,528 : x
  2. Step 2: Convert to fraction form
    196,788/297,528 = 297,528/x
  3. Step 3: Cross multiply
    196,788x = 297,528 × 297,528
  4. Step 4: Simplify right side
    196,788x = 88,522,910,784
  5. Step 5: Solve for x
    x = 88,522,910,784/196,788
  6. Step 6: Final answer
    x = 449,838.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.