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Finding the Third Proportional to 233,775 and 334,273.50

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Solution

The third proportional to 233,775 and 334,273.50 is: 477,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,775 : 334,273.50 = 334,273.50 : x
  2. Step 2: Convert to fraction form
    233,775/334,273.50 = 334,273.50/x
  3. Step 3: Cross multiply
    233,775x = 334,273.50 × 334,273.50
  4. Step 4: Simplify right side
    233,775x = 111,738,772,802.25
  5. Step 5: Solve for x
    x = 111,738,772,802.25/233,775
  6. Step 6: Final answer
    x = 477,975.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.