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Finding the Third Proportional to 198,389.25 and 296,368.88

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Solution

The third proportional to 198,389.25 and 296,368.88 is: 442,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,389.25 : 296,368.88 = 296,368.88 : x
  2. Step 2: Convert to fraction form
    198,389.25/296,368.88 = 296,368.88/x
  3. Step 3: Cross multiply
    198,389.25x = 296,368.88 × 296,368.88
  4. Step 4: Simplify right side
    198,389.25x = 87,834,510,068.77
  5. Step 5: Solve for x
    x = 87,834,510,068.77/198,389.25
  6. Step 6: Final answer
    x = 442,738.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.