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Finding the Third Proportional to 107,672 and 250,220

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Solution

The third proportional to 107,672 and 250,220 is: 581,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,672 : 250,220 = 250,220 : x
  2. Step 2: Convert to fraction form
    107,672/250,220 = 250,220/x
  3. Step 3: Cross multiply
    107,672x = 250,220 × 250,220
  4. Step 4: Simplify right side
    107,672x = 62,610,048,400
  5. Step 5: Solve for x
    x = 62,610,048,400/107,672
  6. Step 6: Final answer
    x = 581,488.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.