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Finding the Third Proportional to 224,445 and 374,035.50

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Solution

The third proportional to 224,445 and 374,035.50 is: 623,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,445 : 374,035.50 = 374,035.50 : x
  2. Step 2: Convert to fraction form
    224,445/374,035.50 = 374,035.50/x
  3. Step 3: Cross multiply
    224,445x = 374,035.50 × 374,035.50
  4. Step 4: Simplify right side
    224,445x = 139,902,555,260.25
  5. Step 5: Solve for x
    x = 139,902,555,260.25/224,445
  6. Step 6: Final answer
    x = 623,326.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.