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Finding the Third Proportional to 140,004 and 224,583.75

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Solution

The third proportional to 140,004 and 224,583.75 is: 360,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,004 : 224,583.75 = 224,583.75 : x
  2. Step 2: Convert to fraction form
    140,004/224,583.75 = 224,583.75/x
  3. Step 3: Cross multiply
    140,004x = 224,583.75 × 224,583.75
  4. Step 4: Simplify right side
    140,004x = 50,437,860,764.06
  5. Step 5: Solve for x
    x = 50,437,860,764.06/140,004
  6. Step 6: Final answer
    x = 360,260.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.