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Finding the Third Proportional to 233,725 and 334,197

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Solution

The third proportional to 233,725 and 334,197 is: 477,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,725 : 334,197 = 334,197 : x
  2. Step 2: Convert to fraction form
    233,725/334,197 = 334,197/x
  3. Step 3: Cross multiply
    233,725x = 334,197 × 334,197
  4. Step 4: Simplify right side
    233,725x = 111,687,634,809
  5. Step 5: Solve for x
    x = 111,687,634,809/233,725
  6. Step 6: Final answer
    x = 477,859.17

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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.