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Finding the Third Proportional to 196,564 and 294,537

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Solution

The third proportional to 196,564 and 294,537 is: 441,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,564 : 294,537 = 294,537 : x
  2. Step 2: Convert to fraction form
    196,564/294,537 = 294,537/x
  3. Step 3: Cross multiply
    196,564x = 294,537 × 294,537
  4. Step 4: Simplify right side
    196,564x = 86,752,044,369
  5. Step 5: Solve for x
    x = 86,752,044,369/196,564
  6. Step 6: Final answer
    x = 441,342.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.