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Finding the Third Proportional to 144,130 and 230,244

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Solution

The third proportional to 144,130 and 230,244 is: 367,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,130 : 230,244 = 230,244 : x
  2. Step 2: Convert to fraction form
    144,130/230,244 = 230,244/x
  3. Step 3: Cross multiply
    144,130x = 230,244 × 230,244
  4. Step 4: Simplify right side
    144,130x = 53,012,299,536
  5. Step 5: Solve for x
    x = 53,012,299,536/144,130
  6. Step 6: Final answer
    x = 367,808.92

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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.