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Finding the Third Proportional to 144,958 and 230,613

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Solution

The third proportional to 144,958 and 230,613 is: 366,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,958 : 230,613 = 230,613 : x
  2. Step 2: Convert to fraction form
    144,958/230,613 = 230,613/x
  3. Step 3: Cross multiply
    144,958x = 230,613 × 230,613
  4. Step 4: Simplify right side
    144,958x = 53,182,355,769
  5. Step 5: Solve for x
    x = 53,182,355,769/144,958
  6. Step 6: Final answer
    x = 366,881.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.