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Finding the Third Proportional to 143,114.63 and 298,000.13

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Solution

The third proportional to 143,114.63 and 298,000.13 is: 620,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,114.63 : 298,000.13 = 298,000.13 : x
  2. Step 2: Convert to fraction form
    143,114.63/298,000.13 = 298,000.13/x
  3. Step 3: Cross multiply
    143,114.63x = 298,000.13 × 298,000.13
  4. Step 4: Simplify right side
    143,114.63x = 88,804,074,500.02
  5. Step 5: Solve for x
    x = 88,804,074,500.02/143,114.63
  6. Step 6: Final answer
    x = 620,510.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.