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Finding the Third Proportional to 141,524 and 209,046

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Solution

The third proportional to 141,524 and 209,046 is: 308,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,524 : 209,046 = 209,046 : x
  2. Step 2: Convert to fraction form
    141,524/209,046 = 209,046/x
  3. Step 3: Cross multiply
    141,524x = 209,046 × 209,046
  4. Step 4: Simplify right side
    141,524x = 43,700,230,116
  5. Step 5: Solve for x
    x = 43,700,230,116/141,524
  6. Step 6: Final answer
    x = 308,783.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.