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Finding the Third Proportional to 199,672.88 and 434,331

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Solution

The third proportional to 199,672.88 and 434,331 is: 944,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,672.88 : 434,331 = 434,331 : x
  2. Step 2: Convert to fraction form
    199,672.88/434,331 = 434,331/x
  3. Step 3: Cross multiply
    199,672.88x = 434,331 × 434,331
  4. Step 4: Simplify right side
    199,672.88x = 188,643,417,561
  5. Step 5: Solve for x
    x = 188,643,417,561/199,672.88
  6. Step 6: Final answer
    x = 944,762.36

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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.