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Finding the Third Proportional to 233,133.75 and 482,852.25

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Solution

The third proportional to 233,133.75 and 482,852.25 is: 1,000,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,133.75 : 482,852.25 = 482,852.25 : x
  2. Step 2: Convert to fraction form
    233,133.75/482,852.25 = 482,852.25/x
  3. Step 3: Cross multiply
    233,133.75x = 482,852.25 × 482,852.25
  4. Step 4: Simplify right side
    233,133.75x = 233,146,295,330.06
  5. Step 5: Solve for x
    x = 233,146,295,330.06/233,133.75
  6. Step 6: Final answer
    x = 1,000,053.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.