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Finding the Third Proportional to 196,088 and 292,668

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Solution

The third proportional to 196,088 and 292,668 is: 436,816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,088 : 292,668 = 292,668 : x
  2. Step 2: Convert to fraction form
    196,088/292,668 = 292,668/x
  3. Step 3: Cross multiply
    196,088x = 292,668 × 292,668
  4. Step 4: Simplify right side
    196,088x = 85,654,558,224
  5. Step 5: Solve for x
    x = 85,654,558,224/196,088
  6. Step 6: Final answer
    x = 436,816.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.