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Finding the Third Proportional to 196,080 and 292,656

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Solution

The third proportional to 196,080 and 292,656 is: 436,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,080 : 292,656 = 292,656 : x
  2. Step 2: Convert to fraction form
    196,080/292,656 = 292,656/x
  3. Step 3: Cross multiply
    196,080x = 292,656 × 292,656
  4. Step 4: Simplify right side
    196,080x = 85,647,534,336
  5. Step 5: Solve for x
    x = 85,647,534,336/196,080
  6. Step 6: Final answer
    x = 436,798.93

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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.