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Finding the Third Proportional to 200,098.50 and 306,048

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Solution

The third proportional to 200,098.50 and 306,048 is: 468,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,098.50 : 306,048 = 306,048 : x
  2. Step 2: Convert to fraction form
    200,098.50/306,048 = 306,048/x
  3. Step 3: Cross multiply
    200,098.50x = 306,048 × 306,048
  4. Step 4: Simplify right side
    200,098.50x = 93,665,378,304
  5. Step 5: Solve for x
    x = 93,665,378,304/200,098.50
  6. Step 6: Final answer
    x = 468,096.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.