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Finding the Third Proportional to 233,187.75 and 360,085.50

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Solution

The third proportional to 233,187.75 and 360,085.50 is: 556,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,187.75 : 360,085.50 = 360,085.50 : x
  2. Step 2: Convert to fraction form
    233,187.75/360,085.50 = 360,085.50/x
  3. Step 3: Cross multiply
    233,187.75x = 360,085.50 × 360,085.50
  4. Step 4: Simplify right side
    233,187.75x = 129,661,567,310.25
  5. Step 5: Solve for x
    x = 129,661,567,310.25/233,187.75
  6. Step 6: Final answer
    x = 556,039.36

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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.