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Finding the Third Proportional to 223,786 and 341,524

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Solution

The third proportional to 223,786 and 341,524 is: 521,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,786 : 341,524 = 341,524 : x
  2. Step 2: Convert to fraction form
    223,786/341,524 = 341,524/x
  3. Step 3: Cross multiply
    223,786x = 341,524 × 341,524
  4. Step 4: Simplify right side
    223,786x = 116,638,642,576
  5. Step 5: Solve for x
    x = 116,638,642,576/223,786
  6. Step 6: Final answer
    x = 521,206.16

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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.