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Finding the Third Proportional to 233,187.75 and 498,368.25

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Solution

The third proportional to 233,187.75 and 498,368.25 is: 1,065,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,187.75 : 498,368.25 = 498,368.25 : x
  2. Step 2: Convert to fraction form
    233,187.75/498,368.25 = 498,368.25/x
  3. Step 3: Cross multiply
    233,187.75x = 498,368.25 × 498,368.25
  4. Step 4: Simplify right side
    233,187.75x = 248,370,912,608.06
  5. Step 5: Solve for x
    x = 248,370,912,608.06/233,187.75
  6. Step 6: Final answer
    x = 1,065,111.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.