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Finding the Third Proportional to 211,526 and 323,988

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Solution

The third proportional to 211,526 and 323,988 is: 496,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,526 : 323,988 = 323,988 : x
  2. Step 2: Convert to fraction form
    211,526/323,988 = 323,988/x
  3. Step 3: Cross multiply
    211,526x = 323,988 × 323,988
  4. Step 4: Simplify right side
    211,526x = 104,968,224,144
  5. Step 5: Solve for x
    x = 104,968,224,144/211,526
  6. Step 6: Final answer
    x = 496,242.66

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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.