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Finding the Third Proportional to 123,297.19 and 265,020.19

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Solution

The third proportional to 123,297.19 and 265,020.19 is: 569,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,297.19 : 265,020.19 = 265,020.19 : x
  2. Step 2: Convert to fraction form
    123,297.19/265,020.19 = 265,020.19/x
  3. Step 3: Cross multiply
    123,297.19x = 265,020.19 × 265,020.19
  4. Step 4: Simplify right side
    123,297.19x = 70,235,699,782.54
  5. Step 5: Solve for x
    x = 70,235,699,782.54/123,297.19
  6. Step 6: Final answer
    x = 569,645.60

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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.