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Finding the Third Proportional to 130,924 and 200,190

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Solution

The third proportional to 130,924 and 200,190 is: 306,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,924 : 200,190 = 200,190 : x
  2. Step 2: Convert to fraction form
    130,924/200,190 = 200,190/x
  3. Step 3: Cross multiply
    130,924x = 200,190 × 200,190
  4. Step 4: Simplify right side
    130,924x = 40,076,036,100
  5. Step 5: Solve for x
    x = 40,076,036,100/130,924
  6. Step 6: Final answer
    x = 306,101.53

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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.