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Finding the Third Proportional to 130,980 and 200,230.50

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Solution

The third proportional to 130,980 and 200,230.50 is: 306,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,980 : 200,230.50 = 200,230.50 : x
  2. Step 2: Convert to fraction form
    130,980/200,230.50 = 200,230.50/x
  3. Step 3: Cross multiply
    130,980x = 200,230.50 × 200,230.50
  4. Step 4: Simplify right side
    130,980x = 40,092,253,130.25
  5. Step 5: Solve for x
    x = 40,092,253,130.25/130,980
  6. Step 6: Final answer
    x = 306,094.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.