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Finding the Third Proportional to 199,785.50 and 424,998

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Solution

The third proportional to 199,785.50 and 424,998 is: 904,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,785.50 : 424,998 = 424,998 : x
  2. Step 2: Convert to fraction form
    199,785.50/424,998 = 424,998/x
  3. Step 3: Cross multiply
    199,785.50x = 424,998 × 424,998
  4. Step 4: Simplify right side
    199,785.50x = 180,623,300,004
  5. Step 5: Solve for x
    x = 180,623,300,004/199,785.50
  6. Step 6: Final answer
    x = 904,086.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.