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Finding the Third Proportional to 196,359.75 and 424,048.50

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Solution

The third proportional to 196,359.75 and 424,048.50 is: 915,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,359.75 : 424,048.50 = 424,048.50 : x
  2. Step 2: Convert to fraction form
    196,359.75/424,048.50 = 424,048.50/x
  3. Step 3: Cross multiply
    196,359.75x = 424,048.50 × 424,048.50
  4. Step 4: Simplify right side
    196,359.75x = 179,817,130,352.25
  5. Step 5: Solve for x
    x = 179,817,130,352.25/196,359.75
  6. Step 6: Final answer
    x = 915,753.51

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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.