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Finding the Third Proportional to 145,550 and 313,348

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Solution

The third proportional to 145,550 and 313,348 is: 674,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,550 : 313,348 = 313,348 : x
  2. Step 2: Convert to fraction form
    145,550/313,348 = 313,348/x
  3. Step 3: Cross multiply
    145,550x = 313,348 × 313,348
  4. Step 4: Simplify right side
    145,550x = 98,186,969,104
  5. Step 5: Solve for x
    x = 98,186,969,104/145,550
  6. Step 6: Final answer
    x = 674,592.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.