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Finding the Third Proportional to 145,744 and 313,630

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Solution

The third proportional to 145,744 and 313,630 is: 674,907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,744 : 313,630 = 313,630 : x
  2. Step 2: Convert to fraction form
    145,744/313,630 = 313,630/x
  3. Step 3: Cross multiply
    145,744x = 313,630 × 313,630
  4. Step 4: Simplify right side
    145,744x = 98,363,776,900
  5. Step 5: Solve for x
    x = 98,363,776,900/145,744
  6. Step 6: Final answer
    x = 674,907.90

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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.