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Finding the Third Proportional to 265,315.50 and 374,211

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Solution

The third proportional to 265,315.50 and 374,211 is: 527,801.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,315.50 : 374,211 = 374,211 : x
  2. Step 2: Convert to fraction form
    265,315.50/374,211 = 374,211/x
  3. Step 3: Cross multiply
    265,315.50x = 374,211 × 374,211
  4. Step 4: Simplify right side
    265,315.50x = 140,033,872,521
  5. Step 5: Solve for x
    x = 140,033,872,521/265,315.50
  6. Step 6: Final answer
    x = 527,801.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.