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Finding the Third Proportional to 211,873.13 and 314,144.25

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Solution

The third proportional to 211,873.13 and 314,144.25 is: 465,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,873.13 : 314,144.25 = 314,144.25 : x
  2. Step 2: Convert to fraction form
    211,873.13/314,144.25 = 314,144.25/x
  3. Step 3: Cross multiply
    211,873.13x = 314,144.25 × 314,144.25
  4. Step 4: Simplify right side
    211,873.13x = 98,686,609,808.06
  5. Step 5: Solve for x
    x = 98,686,609,808.06/211,873.13
  6. Step 6: Final answer
    x = 465,781.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.