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Finding the Third Proportional to 193,982.34 and 424,050.19

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Solution

The third proportional to 193,982.34 and 424,050.19 is: 926,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,982.34 : 424,050.19 = 424,050.19 : x
  2. Step 2: Convert to fraction form
    193,982.34/424,050.19 = 424,050.19/x
  3. Step 3: Cross multiply
    193,982.34x = 424,050.19 × 424,050.19
  4. Step 4: Simplify right side
    193,982.34x = 179,818,561,518.79
  5. Step 5: Solve for x
    x = 179,818,561,518.79/193,982.34
  6. Step 6: Final answer
    x = 926,984.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.