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Finding the Third Proportional to 196,457.91 and 406,987.03

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Solution

The third proportional to 196,457.91 and 406,987.03 is: 843,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,457.91 : 406,987.03 = 406,987.03 : x
  2. Step 2: Convert to fraction form
    196,457.91/406,987.03 = 406,987.03/x
  3. Step 3: Cross multiply
    196,457.91x = 406,987.03 × 406,987.03
  4. Step 4: Simplify right side
    196,457.91x = 165,638,443,605.69
  5. Step 5: Solve for x
    x = 165,638,443,605.69/196,457.91
  6. Step 6: Final answer
    x = 843,124.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.