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Finding the Third Proportional to 145,008 and 297,824

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Solution

The third proportional to 145,008 and 297,824 is: 611,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,008 : 297,824 = 297,824 : x
  2. Step 2: Convert to fraction form
    145,008/297,824 = 297,824/x
  3. Step 3: Cross multiply
    145,008x = 297,824 × 297,824
  4. Step 4: Simplify right side
    145,008x = 88,699,134,976
  5. Step 5: Solve for x
    x = 88,699,134,976/145,008
  6. Step 6: Final answer
    x = 611,684.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.