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Finding the Third Proportional to 115,430 and 250,546

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Solution

The third proportional to 115,430 and 250,546 is: 543,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,430 : 250,546 = 250,546 : x
  2. Step 2: Convert to fraction form
    115,430/250,546 = 250,546/x
  3. Step 3: Cross multiply
    115,430x = 250,546 × 250,546
  4. Step 4: Simplify right side
    115,430x = 62,773,298,116
  5. Step 5: Solve for x
    x = 62,773,298,116/115,430
  6. Step 6: Final answer
    x = 543,821.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.