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Finding the Third Proportional to 115,210.69 and 250,642.69

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Solution

The third proportional to 115,210.69 and 250,642.69 is: 545,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,210.69 : 250,642.69 = 250,642.69 : x
  2. Step 2: Convert to fraction form
    115,210.69/250,642.69 = 250,642.69/x
  3. Step 3: Cross multiply
    115,210.69x = 250,642.69 × 250,642.69
  4. Step 4: Simplify right side
    115,210.69x = 62,821,756,797.22
  5. Step 5: Solve for x
    x = 62,821,756,797.22/115,210.69
  6. Step 6: Final answer
    x = 545,277.16

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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.