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Finding the Third Proportional to 140,526 and 205,531

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Solution

The third proportional to 140,526 and 205,531 is: 300,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,526 : 205,531 = 205,531 : x
  2. Step 2: Convert to fraction form
    140,526/205,531 = 205,531/x
  3. Step 3: Cross multiply
    140,526x = 205,531 × 205,531
  4. Step 4: Simplify right side
    140,526x = 42,242,991,961
  5. Step 5: Solve for x
    x = 42,242,991,961/140,526
  6. Step 6: Final answer
    x = 300,606.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.