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Finding the Third Proportional to 144,113.63 and 230,223.88

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Solution

The third proportional to 144,113.63 and 230,223.88 is: 367,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,113.63 : 230,223.88 = 230,223.88 : x
  2. Step 2: Convert to fraction form
    144,113.63/230,223.88 = 230,223.88/x
  3. Step 3: Cross multiply
    144,113.63x = 230,223.88 × 230,223.88
  4. Step 4: Simplify right side
    144,113.63x = 53,003,032,620.02
  5. Step 5: Solve for x
    x = 53,003,032,620.02/144,113.63
  6. Step 6: Final answer
    x = 367,786.41

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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.