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Finding the Third Proportional to 212,114 and 306,750

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Solution

The third proportional to 212,114 and 306,750 is: 443,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,114 : 306,750 = 306,750 : x
  2. Step 2: Convert to fraction form
    212,114/306,750 = 306,750/x
  3. Step 3: Cross multiply
    212,114x = 306,750 × 306,750
  4. Step 4: Simplify right side
    212,114x = 94,095,562,500
  5. Step 5: Solve for x
    x = 94,095,562,500/212,114
  6. Step 6: Final answer
    x = 443,608.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.