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Finding the Third Proportional to 236,342 and 344,358

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Solution

The third proportional to 236,342 and 344,358 is: 501,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,342 : 344,358 = 344,358 : x
  2. Step 2: Convert to fraction form
    236,342/344,358 = 344,358/x
  3. Step 3: Cross multiply
    236,342x = 344,358 × 344,358
  4. Step 4: Simplify right side
    236,342x = 118,582,432,164
  5. Step 5: Solve for x
    x = 118,582,432,164/236,342
  6. Step 6: Final answer
    x = 501,740.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.