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Finding the Third Proportional to 141,854 and 290,188

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Solution

The third proportional to 141,854 and 290,188 is: 593,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,854 : 290,188 = 290,188 : x
  2. Step 2: Convert to fraction form
    141,854/290,188 = 290,188/x
  3. Step 3: Cross multiply
    141,854x = 290,188 × 290,188
  4. Step 4: Simplify right side
    141,854x = 84,209,075,344
  5. Step 5: Solve for x
    x = 84,209,075,344/141,854
  6. Step 6: Final answer
    x = 593,632.01

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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.