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Finding the Third Proportional to 149,046 and 224,970

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Solution

The third proportional to 149,046 and 224,970 is: 339,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,046 : 224,970 = 224,970 : x
  2. Step 2: Convert to fraction form
    149,046/224,970 = 224,970/x
  3. Step 3: Cross multiply
    149,046x = 224,970 × 224,970
  4. Step 4: Simplify right side
    149,046x = 50,611,500,900
  5. Step 5: Solve for x
    x = 50,611,500,900/149,046
  6. Step 6: Final answer
    x = 339,569.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.