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Finding the Third Proportional to 141,300 and 211,952.25

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Solution

The third proportional to 141,300 and 211,952.25 is: 317,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,300 : 211,952.25 = 211,952.25 : x
  2. Step 2: Convert to fraction form
    141,300/211,952.25 = 211,952.25/x
  3. Step 3: Cross multiply
    141,300x = 211,952.25 × 211,952.25
  4. Step 4: Simplify right side
    141,300x = 44,923,756,280.06
  5. Step 5: Solve for x
    x = 44,923,756,280.06/141,300
  6. Step 6: Final answer
    x = 317,931.75

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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.