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Finding the Third Proportional to 241,432 and 344,748

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Solution

The third proportional to 241,432 and 344,748 is: 492,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,432 : 344,748 = 344,748 : x
  2. Step 2: Convert to fraction form
    241,432/344,748 = 344,748/x
  3. Step 3: Cross multiply
    241,432x = 344,748 × 344,748
  4. Step 4: Simplify right side
    241,432x = 118,851,183,504
  5. Step 5: Solve for x
    x = 118,851,183,504/241,432
  6. Step 6: Final answer
    x = 492,276.02

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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.