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Finding the Third Proportional to 233,725.50 and 334,198.50

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Solution

The third proportional to 233,725.50 and 334,198.50 is: 477,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,725.50 : 334,198.50 = 334,198.50 : x
  2. Step 2: Convert to fraction form
    233,725.50/334,198.50 = 334,198.50/x
  3. Step 3: Cross multiply
    233,725.50x = 334,198.50 × 334,198.50
  4. Step 4: Simplify right side
    233,725.50x = 111,688,637,402.25
  5. Step 5: Solve for x
    x = 111,688,637,402.25/233,725.50
  6. Step 6: Final answer
    x = 477,862.44

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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.