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Finding the Third Proportional to 125,153 and 270,445

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Solution

The third proportional to 125,153 and 270,445 is: 584,408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,153 : 270,445 = 270,445 : x
  2. Step 2: Convert to fraction form
    125,153/270,445 = 270,445/x
  3. Step 3: Cross multiply
    125,153x = 270,445 × 270,445
  4. Step 4: Simplify right side
    125,153x = 73,140,498,025
  5. Step 5: Solve for x
    x = 73,140,498,025/125,153
  6. Step 6: Final answer
    x = 584,408.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.