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Finding the Third Proportional to 214,520 and 315,583

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Solution

The third proportional to 214,520 and 315,583 is: 464,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,520 : 315,583 = 315,583 : x
  2. Step 2: Convert to fraction form
    214,520/315,583 = 315,583/x
  3. Step 3: Cross multiply
    214,520x = 315,583 × 315,583
  4. Step 4: Simplify right side
    214,520x = 99,592,629,889
  5. Step 5: Solve for x
    x = 99,592,629,889/214,520
  6. Step 6: Final answer
    x = 464,258.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.