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Finding the Third Proportional to 130,000 and 200,760

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Solution

The third proportional to 130,000 and 200,760 is: 310,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,000 : 200,760 = 200,760 : x
  2. Step 2: Convert to fraction form
    130,000/200,760 = 200,760/x
  3. Step 3: Cross multiply
    130,000x = 200,760 × 200,760
  4. Step 4: Simplify right side
    130,000x = 40,304,577,600
  5. Step 5: Solve for x
    x = 40,304,577,600/130,000
  6. Step 6: Final answer
    x = 310,035.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.