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Finding the Third Proportional to 144,172 and 229,582

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Solution

The third proportional to 144,172 and 229,582 is: 365,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,172 : 229,582 = 229,582 : x
  2. Step 2: Convert to fraction form
    144,172/229,582 = 229,582/x
  3. Step 3: Cross multiply
    144,172x = 229,582 × 229,582
  4. Step 4: Simplify right side
    144,172x = 52,707,894,724
  5. Step 5: Solve for x
    x = 52,707,894,724/144,172
  6. Step 6: Final answer
    x = 365,590.37

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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.