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Finding the Third Proportional to 250,816.50 and 535,653

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Solution

The third proportional to 250,816.50 and 535,653 is: 1,143,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,816.50 : 535,653 = 535,653 : x
  2. Step 2: Convert to fraction form
    250,816.50/535,653 = 535,653/x
  3. Step 3: Cross multiply
    250,816.50x = 535,653 × 535,653
  4. Step 4: Simplify right side
    250,816.50x = 286,924,136,409
  5. Step 5: Solve for x
    x = 286,924,136,409/250,816.50
  6. Step 6: Final answer
    x = 1,143,960.37

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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.