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Finding the Third Proportional to 165,309 and 247,323

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Solution

The third proportional to 165,309 and 247,323 is: 370,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,309 : 247,323 = 247,323 : x
  2. Step 2: Convert to fraction form
    165,309/247,323 = 247,323/x
  3. Step 3: Cross multiply
    165,309x = 247,323 × 247,323
  4. Step 4: Simplify right side
    165,309x = 61,168,666,329
  5. Step 5: Solve for x
    x = 61,168,666,329/165,309
  6. Step 6: Final answer
    x = 370,026.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.