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Finding the Third Proportional to 144,164 and 229,570

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Solution

The third proportional to 144,164 and 229,570 is: 365,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,164 : 229,570 = 229,570 : x
  2. Step 2: Convert to fraction form
    144,164/229,570 = 229,570/x
  3. Step 3: Cross multiply
    144,164x = 229,570 × 229,570
  4. Step 4: Simplify right side
    144,164x = 52,702,384,900
  5. Step 5: Solve for x
    x = 52,702,384,900/144,164
  6. Step 6: Final answer
    x = 365,572.44

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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.