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Finding the Third Proportional to 196,934.25 and 297,730.50

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Solution

The third proportional to 196,934.25 and 297,730.50 is: 450,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,934.25 : 297,730.50 = 297,730.50 : x
  2. Step 2: Convert to fraction form
    196,934.25/297,730.50 = 297,730.50/x
  3. Step 3: Cross multiply
    196,934.25x = 297,730.50 × 297,730.50
  4. Step 4: Simplify right side
    196,934.25x = 88,643,450,630.25
  5. Step 5: Solve for x
    x = 88,643,450,630.25/196,934.25
  6. Step 6: Final answer
    x = 450,116.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.