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Finding the Third Proportional to 233,970.75 and 355,880.25

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Solution

The third proportional to 233,970.75 and 355,880.25 is: 541,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,970.75 : 355,880.25 = 355,880.25 : x
  2. Step 2: Convert to fraction form
    233,970.75/355,880.25 = 355,880.25/x
  3. Step 3: Cross multiply
    233,970.75x = 355,880.25 × 355,880.25
  4. Step 4: Simplify right side
    233,970.75x = 126,650,752,340.06
  5. Step 5: Solve for x
    x = 126,650,752,340.06/233,970.75
  6. Step 6: Final answer
    x = 541,310.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.