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Finding the Third Proportional to 245,527.50 and 368,622

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Solution

The third proportional to 245,527.50 and 368,622 is: 553,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,527.50 : 368,622 = 368,622 : x
  2. Step 2: Convert to fraction form
    245,527.50/368,622 = 368,622/x
  3. Step 3: Cross multiply
    245,527.50x = 368,622 × 368,622
  4. Step 4: Simplify right side
    245,527.50x = 135,882,178,884
  5. Step 5: Solve for x
    x = 135,882,178,884/245,527.50
  6. Step 6: Final answer
    x = 553,429.57

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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.