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Finding the Third Proportional to 115,412.63 and 174,656.25

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Solution

The third proportional to 115,412.63 and 174,656.25 is: 264,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,412.63 : 174,656.25 = 174,656.25 : x
  2. Step 2: Convert to fraction form
    115,412.63/174,656.25 = 174,656.25/x
  3. Step 3: Cross multiply
    115,412.63x = 174,656.25 × 174,656.25
  4. Step 4: Simplify right side
    115,412.63x = 30,504,805,664.06
  5. Step 5: Solve for x
    x = 30,504,805,664.06/115,412.63
  6. Step 6: Final answer
    x = 264,310.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.