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Finding the Third Proportional to 145,514 and 313,276

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Solution

The third proportional to 145,514 and 313,276 is: 674,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,514 : 313,276 = 313,276 : x
  2. Step 2: Convert to fraction form
    145,514/313,276 = 313,276/x
  3. Step 3: Cross multiply
    145,514x = 313,276 × 313,276
  4. Step 4: Simplify right side
    145,514x = 98,141,852,176
  5. Step 5: Solve for x
    x = 98,141,852,176/145,514
  6. Step 6: Final answer
    x = 674,449.55

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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.