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Finding the Third Proportional to 198,312 and 297,904

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Solution

The third proportional to 198,312 and 297,904 is: 447,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,312 : 297,904 = 297,904 : x
  2. Step 2: Convert to fraction form
    198,312/297,904 = 297,904/x
  3. Step 3: Cross multiply
    198,312x = 297,904 × 297,904
  4. Step 4: Simplify right side
    198,312x = 88,746,793,216
  5. Step 5: Solve for x
    x = 88,746,793,216/198,312
  6. Step 6: Final answer
    x = 447,510.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.