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Finding the Third Proportional to 224,271 and 342,972

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Solution

The third proportional to 224,271 and 342,972 is: 524,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,271 : 342,972 = 342,972 : x
  2. Step 2: Convert to fraction form
    224,271/342,972 = 342,972/x
  3. Step 3: Cross multiply
    224,271x = 342,972 × 342,972
  4. Step 4: Simplify right side
    224,271x = 117,629,792,784
  5. Step 5: Solve for x
    x = 117,629,792,784/224,271
  6. Step 6: Final answer
    x = 524,498.45

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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.