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Finding the Third Proportional to 199,417.50 and 433,827

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Solution

The third proportional to 199,417.50 and 433,827 is: 943,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,417.50 : 433,827 = 433,827 : x
  2. Step 2: Convert to fraction form
    199,417.50/433,827 = 433,827/x
  3. Step 3: Cross multiply
    199,417.50x = 433,827 × 433,827
  4. Step 4: Simplify right side
    199,417.50x = 188,205,865,929
  5. Step 5: Solve for x
    x = 188,205,865,929/199,417.50
  6. Step 6: Final answer
    x = 943,778.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.