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Finding the Third Proportional to 235,611 and 364,012.50

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Solution

The third proportional to 235,611 and 364,012.50 is: 562,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,611 : 364,012.50 = 364,012.50 : x
  2. Step 2: Convert to fraction form
    235,611/364,012.50 = 364,012.50/x
  3. Step 3: Cross multiply
    235,611x = 364,012.50 × 364,012.50
  4. Step 4: Simplify right side
    235,611x = 132,505,100,156.25
  5. Step 5: Solve for x
    x = 132,505,100,156.25/235,611
  6. Step 6: Final answer
    x = 562,389.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.