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Finding the Third Proportional to 144,876.09 and 221,621.06

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Solution

The third proportional to 144,876.09 and 221,621.06 is: 339,020.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,876.09 : 221,621.06 = 221,621.06 : x
  2. Step 2: Convert to fraction form
    144,876.09/221,621.06 = 221,621.06/x
  3. Step 3: Cross multiply
    144,876.09x = 221,621.06 × 221,621.06
  4. Step 4: Simplify right side
    144,876.09x = 49,115,895,343.63
  5. Step 5: Solve for x
    x = 49,115,895,343.63/144,876.09
  6. Step 6: Final answer
    x = 339,020.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.