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Finding the Third Proportional to 211,776.75 and 314,020.13

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Solution

The third proportional to 211,776.75 and 314,020.13 is: 465,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,776.75 : 314,020.13 = 314,020.13 : x
  2. Step 2: Convert to fraction form
    211,776.75/314,020.13 = 314,020.13/x
  3. Step 3: Cross multiply
    211,776.75x = 314,020.13 × 314,020.13
  4. Step 4: Simplify right side
    211,776.75x = 98,608,638,905.02
  5. Step 5: Solve for x
    x = 98,608,638,905.02/211,776.75
  6. Step 6: Final answer
    x = 465,625.42

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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.