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Finding the Third Proportional to 236,866.50 and 364,083

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Solution

The third proportional to 236,866.50 and 364,083 is: 559,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,866.50 : 364,083 = 364,083 : x
  2. Step 2: Convert to fraction form
    236,866.50/364,083 = 364,083/x
  3. Step 3: Cross multiply
    236,866.50x = 364,083 × 364,083
  4. Step 4: Simplify right side
    236,866.50x = 132,556,430,889
  5. Step 5: Solve for x
    x = 132,556,430,889/236,866.50
  6. Step 6: Final answer
    x = 559,625.07

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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.