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Finding the Third Proportional to 118,428.33 and 259,000.03

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Solution

The third proportional to 118,428.33 and 259,000.03 is: 566,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,428.33 : 259,000.03 = 259,000.03 : x
  2. Step 2: Convert to fraction form
    118,428.33/259,000.03 = 259,000.03/x
  3. Step 3: Cross multiply
    118,428.33x = 259,000.03 × 259,000.03
  4. Step 4: Simplify right side
    118,428.33x = 67,081,016,187.50
  5. Step 5: Solve for x
    x = 67,081,016,187.50/118,428.33
  6. Step 6: Final answer
    x = 566,427.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.