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Finding the Third Proportional to 250,827.50 and 535,675

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Solution

The third proportional to 250,827.50 and 535,675 is: 1,144,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,827.50 : 535,675 = 535,675 : x
  2. Step 2: Convert to fraction form
    250,827.50/535,675 = 535,675/x
  3. Step 3: Cross multiply
    250,827.50x = 535,675 × 535,675
  4. Step 4: Simplify right side
    250,827.50x = 286,947,705,625
  5. Step 5: Solve for x
    x = 286,947,705,625/250,827.50
  6. Step 6: Final answer
    x = 1,144,004.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.