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Finding the Third Proportional to 143,573.13 and 306,009.14

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Solution

The third proportional to 143,573.13 and 306,009.14 is: 652,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,573.13 : 306,009.14 = 306,009.14 : x
  2. Step 2: Convert to fraction form
    143,573.13/306,009.14 = 306,009.14/x
  3. Step 3: Cross multiply
    143,573.13x = 306,009.14 × 306,009.14
  4. Step 4: Simplify right side
    143,573.13x = 93,641,594,146.05
  5. Step 5: Solve for x
    x = 93,641,594,146.05/143,573.13
  6. Step 6: Final answer
    x = 652,222.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.