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Finding the Third Proportional to 196,440.19 and 424,181.81

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Solution

The third proportional to 196,440.19 and 424,181.81 is: 915,954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,440.19 : 424,181.81 = 424,181.81 : x
  2. Step 2: Convert to fraction form
    196,440.19/424,181.81 = 424,181.81/x
  3. Step 3: Cross multiply
    196,440.19x = 424,181.81 × 424,181.81
  4. Step 4: Simplify right side
    196,440.19x = 179,930,210,055.79
  5. Step 5: Solve for x
    x = 179,930,210,055.79/196,440.19
  6. Step 6: Final answer
    x = 915,954.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.