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Finding the Third Proportional to 255,750 and 387,178.50

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Solution

The third proportional to 255,750 and 387,178.50 is: 586,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,750 : 387,178.50 = 387,178.50 : x
  2. Step 2: Convert to fraction form
    255,750/387,178.50 = 387,178.50/x
  3. Step 3: Cross multiply
    255,750x = 387,178.50 × 387,178.50
  4. Step 4: Simplify right side
    255,750x = 149,907,190,862.25
  5. Step 5: Solve for x
    x = 149,907,190,862.25/255,750
  6. Step 6: Final answer
    x = 586,147.37

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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.