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Finding the Third Proportional to 115,875 and 253,899

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Solution

The third proportional to 115,875 and 253,899 is: 556,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,875 : 253,899 = 253,899 : x
  2. Step 2: Convert to fraction form
    115,875/253,899 = 253,899/x
  3. Step 3: Cross multiply
    115,875x = 253,899 × 253,899
  4. Step 4: Simplify right side
    115,875x = 64,464,702,201
  5. Step 5: Solve for x
    x = 64,464,702,201/115,875
  6. Step 6: Final answer
    x = 556,329.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.