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Finding the Third Proportional to 250,335 and 388,147.50

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Solution

The third proportional to 250,335 and 388,147.50 is: 601,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,335 : 388,147.50 = 388,147.50 : x
  2. Step 2: Convert to fraction form
    250,335/388,147.50 = 388,147.50/x
  3. Step 3: Cross multiply
    250,335x = 388,147.50 × 388,147.50
  4. Step 4: Simplify right side
    250,335x = 150,658,481,756.25
  5. Step 5: Solve for x
    x = 150,658,481,756.25/250,335
  6. Step 6: Final answer
    x = 601,827.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.