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Finding the Third Proportional to 213,094.13 and 433,532.25

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Solution

The third proportional to 213,094.13 and 433,532.25 is: 882,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,094.13 : 433,532.25 = 433,532.25 : x
  2. Step 2: Convert to fraction form
    213,094.13/433,532.25 = 433,532.25/x
  3. Step 3: Cross multiply
    213,094.13x = 433,532.25 × 433,532.25
  4. Step 4: Simplify right side
    213,094.13x = 187,950,211,790.06
  5. Step 5: Solve for x
    x = 187,950,211,790.06/213,094.13
  6. Step 6: Final answer
    x = 882,005.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.