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Finding the Third Proportional to 233,788 and 334,292

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Solution

The third proportional to 233,788 and 334,292 is: 478,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,788 : 334,292 = 334,292 : x
  2. Step 2: Convert to fraction form
    233,788/334,292 = 334,292/x
  3. Step 3: Cross multiply
    233,788x = 334,292 × 334,292
  4. Step 4: Simplify right side
    233,788x = 111,751,141,264
  5. Step 5: Solve for x
    x = 111,751,141,264/233,788
  6. Step 6: Final answer
    x = 478,002.04

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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.