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Finding the Third Proportional to 141,700.50 and 215,934

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Solution

The third proportional to 141,700.50 and 215,934 is: 329,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,700.50 : 215,934 = 215,934 : x
  2. Step 2: Convert to fraction form
    141,700.50/215,934 = 215,934/x
  3. Step 3: Cross multiply
    141,700.50x = 215,934 × 215,934
  4. Step 4: Simplify right side
    141,700.50x = 46,627,492,356
  5. Step 5: Solve for x
    x = 46,627,492,356/141,700.50
  6. Step 6: Final answer
    x = 329,056.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.