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Finding the Third Proportional to 144,106 and 230,212

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Solution

The third proportional to 144,106 and 230,212 is: 367,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,106 : 230,212 = 230,212 : x
  2. Step 2: Convert to fraction form
    144,106/230,212 = 230,212/x
  3. Step 3: Cross multiply
    144,106x = 230,212 × 230,212
  4. Step 4: Simplify right side
    144,106x = 52,997,564,944
  5. Step 5: Solve for x
    x = 52,997,564,944/144,106
  6. Step 6: Final answer
    x = 367,767.93

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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.