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Finding the Third Proportional to 130,770 and 200,367

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Solution

The third proportional to 130,770 and 200,367 is: 307,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,770 : 200,367 = 200,367 : x
  2. Step 2: Convert to fraction form
    130,770/200,367 = 200,367/x
  3. Step 3: Cross multiply
    130,770x = 200,367 × 200,367
  4. Step 4: Simplify right side
    130,770x = 40,146,934,689
  5. Step 5: Solve for x
    x = 40,146,934,689/130,770
  6. Step 6: Final answer
    x = 307,004.17

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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.