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Finding the Third Proportional to 145,541 and 313,215

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Solution

The third proportional to 145,541 and 313,215 is: 674,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,541 : 313,215 = 313,215 : x
  2. Step 2: Convert to fraction form
    145,541/313,215 = 313,215/x
  3. Step 3: Cross multiply
    145,541x = 313,215 × 313,215
  4. Step 4: Simplify right side
    145,541x = 98,103,636,225
  5. Step 5: Solve for x
    x = 98,103,636,225/145,541
  6. Step 6: Final answer
    x = 674,061.85

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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.