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Finding the Third Proportional to 149,140 and 223,830

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Solution

The third proportional to 149,140 and 223,830 is: 335,925.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,140 : 223,830 = 223,830 : x
  2. Step 2: Convert to fraction form
    149,140/223,830 = 223,830/x
  3. Step 3: Cross multiply
    149,140x = 223,830 × 223,830
  4. Step 4: Simplify right side
    149,140x = 50,099,868,900
  5. Step 5: Solve for x
    x = 50,099,868,900/149,140
  6. Step 6: Final answer
    x = 335,925.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.