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Finding the Third Proportional to 196,002 and 293,457

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Solution

The third proportional to 196,002 and 293,457 is: 439,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,002 : 293,457 = 293,457 : x
  2. Step 2: Convert to fraction form
    196,002/293,457 = 293,457/x
  3. Step 3: Cross multiply
    196,002x = 293,457 × 293,457
  4. Step 4: Simplify right side
    196,002x = 86,117,010,849
  5. Step 5: Solve for x
    x = 86,117,010,849/196,002
  6. Step 6: Final answer
    x = 439,368.02

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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.