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Finding the Third Proportional to 141,783 and 290,046

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Solution

The third proportional to 141,783 and 290,046 is: 593,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,783 : 290,046 = 290,046 : x
  2. Step 2: Convert to fraction form
    141,783/290,046 = 290,046/x
  3. Step 3: Cross multiply
    141,783x = 290,046 × 290,046
  4. Step 4: Simplify right side
    141,783x = 84,126,682,116
  5. Step 5: Solve for x
    x = 84,126,682,116/141,783
  6. Step 6: Final answer
    x = 593,348.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.