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Finding the Third Proportional to 214,526 and 315,592

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Solution

The third proportional to 214,526 and 315,592 is: 464,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,526 : 315,592 = 315,592 : x
  2. Step 2: Convert to fraction form
    214,526/315,592 = 315,592/x
  3. Step 3: Cross multiply
    214,526x = 315,592 × 315,592
  4. Step 4: Simplify right side
    214,526x = 99,598,310,464
  5. Step 5: Solve for x
    x = 99,598,310,464/214,526
  6. Step 6: Final answer
    x = 464,271.51

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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.