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Finding the Third Proportional to 210,701.25 and 450,927

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Solution

The third proportional to 210,701.25 and 450,927 is: 965,040.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,701.25 : 450,927 = 450,927 : x
  2. Step 2: Convert to fraction form
    210,701.25/450,927 = 450,927/x
  3. Step 3: Cross multiply
    210,701.25x = 450,927 × 450,927
  4. Step 4: Simplify right side
    210,701.25x = 203,335,159,329
  5. Step 5: Solve for x
    x = 203,335,159,329/210,701.25
  6. Step 6: Final answer
    x = 965,040.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.