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Finding the Third Proportional to 196,359.19 and 424,050.19

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Solution

The third proportional to 196,359.19 and 424,050.19 is: 915,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,359.19 : 424,050.19 = 424,050.19 : x
  2. Step 2: Convert to fraction form
    196,359.19/424,050.19 = 424,050.19/x
  3. Step 3: Cross multiply
    196,359.19x = 424,050.19 × 424,050.19
  4. Step 4: Simplify right side
    196,359.19x = 179,818,561,518.79
  5. Step 5: Solve for x
    x = 179,818,561,518.79/196,359.19
  6. Step 6: Final answer
    x = 915,763.42

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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.