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Finding the Third Proportional to 145,653 and 219,814.50

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Solution

The third proportional to 145,653 and 219,814.50 is: 331,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,653 : 219,814.50 = 219,814.50 : x
  2. Step 2: Convert to fraction form
    145,653/219,814.50 = 219,814.50/x
  3. Step 3: Cross multiply
    145,653x = 219,814.50 × 219,814.50
  4. Step 4: Simplify right side
    145,653x = 48,318,414,410.25
  5. Step 5: Solve for x
    x = 48,318,414,410.25/145,653
  6. Step 6: Final answer
    x = 331,736.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.