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Finding the Third Proportional to 144,594 and 313,380

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Solution

The third proportional to 144,594 and 313,380 is: 679,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,594 : 313,380 = 313,380 : x
  2. Step 2: Convert to fraction form
    144,594/313,380 = 313,380/x
  3. Step 3: Cross multiply
    144,594x = 313,380 × 313,380
  4. Step 4: Simplify right side
    144,594x = 98,207,024,400
  5. Step 5: Solve for x
    x = 98,207,024,400/144,594
  6. Step 6: Final answer
    x = 679,191.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.