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Finding the Third Proportional to 227,527 and 306,297.50

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Solution

The third proportional to 227,527 and 306,297.50 is: 412,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,527 : 306,297.50 = 306,297.50 : x
  2. Step 2: Convert to fraction form
    227,527/306,297.50 = 306,297.50/x
  3. Step 3: Cross multiply
    227,527x = 306,297.50 × 306,297.50
  4. Step 4: Simplify right side
    227,527x = 93,818,158,506.25
  5. Step 5: Solve for x
    x = 93,818,158,506.25/227,527
  6. Step 6: Final answer
    x = 412,338.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.