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Finding the Third Proportional to 141,784.50 and 311,523

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Solution

The third proportional to 141,784.50 and 311,523 is: 684,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,784.50 : 311,523 = 311,523 : x
  2. Step 2: Convert to fraction form
    141,784.50/311,523 = 311,523/x
  3. Step 3: Cross multiply
    141,784.50x = 311,523 × 311,523
  4. Step 4: Simplify right side
    141,784.50x = 97,046,579,529
  5. Step 5: Solve for x
    x = 97,046,579,529/141,784.50
  6. Step 6: Final answer
    x = 684,465.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.