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Finding the Third Proportional to 144,444 and 230,658

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Solution

The third proportional to 144,444 and 230,658 is: 368,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,444 : 230,658 = 230,658 : x
  2. Step 2: Convert to fraction form
    144,444/230,658 = 230,658/x
  3. Step 3: Cross multiply
    144,444x = 230,658 × 230,658
  4. Step 4: Simplify right side
    144,444x = 53,203,112,964
  5. Step 5: Solve for x
    x = 53,203,112,964/144,444
  6. Step 6: Final answer
    x = 368,330.38

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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.