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Finding the Third Proportional to 144,189.03 and 310,564.68

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Solution

The third proportional to 144,189.03 and 310,564.68 is: 668,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,189.03 : 310,564.68 = 310,564.68 : x
  2. Step 2: Convert to fraction form
    144,189.03/310,564.68 = 310,564.68/x
  3. Step 3: Cross multiply
    144,189.03x = 310,564.68 × 310,564.68
  4. Step 4: Simplify right side
    144,189.03x = 96,450,419,662.82
  5. Step 5: Solve for x
    x = 96,450,419,662.82/144,189.03
  6. Step 6: Final answer
    x = 668,916.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.