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Finding the Third Proportional to 141,366 and 212,353.50

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Solution

The third proportional to 141,366 and 212,353.50 is: 318,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,366 : 212,353.50 = 212,353.50 : x
  2. Step 2: Convert to fraction form
    141,366/212,353.50 = 212,353.50/x
  3. Step 3: Cross multiply
    141,366x = 212,353.50 × 212,353.50
  4. Step 4: Simplify right side
    141,366x = 45,094,008,962.25
  5. Step 5: Solve for x
    x = 45,094,008,962.25/141,366
  6. Step 6: Final answer
    x = 318,987.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.