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Finding the Third Proportional to 149,026 and 209,323

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Solution

The third proportional to 149,026 and 209,323 is: 294,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,026 : 209,323 = 209,323 : x
  2. Step 2: Convert to fraction form
    149,026/209,323 = 209,323/x
  3. Step 3: Cross multiply
    149,026x = 209,323 × 209,323
  4. Step 4: Simplify right side
    149,026x = 43,816,118,329
  5. Step 5: Solve for x
    x = 43,816,118,329/149,026
  6. Step 6: Final answer
    x = 294,016.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.