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Finding the Third Proportional to 219,667.50 and 452,453

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Solution

The third proportional to 219,667.50 and 452,453 is: 931,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,667.50 : 452,453 = 452,453 : x
  2. Step 2: Convert to fraction form
    219,667.50/452,453 = 452,453/x
  3. Step 3: Cross multiply
    219,667.50x = 452,453 × 452,453
  4. Step 4: Simplify right side
    219,667.50x = 204,713,717,209
  5. Step 5: Solve for x
    x = 204,713,717,209/219,667.50
  6. Step 6: Final answer
    x = 931,925.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.