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Finding the Third Proportional to 144,111 and 230,220

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Solution

The third proportional to 144,111 and 230,220 is: 367,780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,111 : 230,220 = 230,220 : x
  2. Step 2: Convert to fraction form
    144,111/230,220 = 230,220/x
  3. Step 3: Cross multiply
    144,111x = 230,220 × 230,220
  4. Step 4: Simplify right side
    144,111x = 53,001,248,400
  5. Step 5: Solve for x
    x = 53,001,248,400/144,111
  6. Step 6: Final answer
    x = 367,780.73

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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.