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Finding the Third Proportional to 144,047 and 218,058

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Solution

The third proportional to 144,047 and 218,058 is: 330,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,047 : 218,058 = 218,058 : x
  2. Step 2: Convert to fraction form
    144,047/218,058 = 218,058/x
  3. Step 3: Cross multiply
    144,047x = 218,058 × 218,058
  4. Step 4: Simplify right side
    144,047x = 47,549,291,364
  5. Step 5: Solve for x
    x = 47,549,291,364/144,047
  6. Step 6: Final answer
    x = 330,095.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.