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Finding the Third Proportional to 144,352.50 and 314,907

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Solution

The third proportional to 144,352.50 and 314,907 is: 686,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,352.50 : 314,907 = 314,907 : x
  2. Step 2: Convert to fraction form
    144,352.50/314,907 = 314,907/x
  3. Step 3: Cross multiply
    144,352.50x = 314,907 × 314,907
  4. Step 4: Simplify right side
    144,352.50x = 99,166,418,649
  5. Step 5: Solve for x
    x = 99,166,418,649/144,352.50
  6. Step 6: Final answer
    x = 686,974.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.