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Finding the Third Proportional to 145,605.09 and 298,266.05

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Solution

The third proportional to 145,605.09 and 298,266.05 is: 610,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,605.09 : 298,266.05 = 298,266.05 : x
  2. Step 2: Convert to fraction form
    145,605.09/298,266.05 = 298,266.05/x
  3. Step 3: Cross multiply
    145,605.09x = 298,266.05 × 298,266.05
  4. Step 4: Simplify right side
    145,605.09x = 88,962,634,718.44
  5. Step 5: Solve for x
    x = 88,962,634,718.44/145,605.09
  6. Step 6: Final answer
    x = 610,985.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.