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Finding the Third Proportional to 130,872.38 and 197,400.38

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Solution

The third proportional to 130,872.38 and 197,400.38 is: 297,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,872.38 : 197,400.38 = 197,400.38 : x
  2. Step 2: Convert to fraction form
    130,872.38/197,400.38 = 197,400.38/x
  3. Step 3: Cross multiply
    130,872.38x = 197,400.38 × 197,400.38
  4. Step 4: Simplify right side
    130,872.38x = 38,966,908,050.14
  5. Step 5: Solve for x
    x = 38,966,908,050.14/130,872.38
  6. Step 6: Final answer
    x = 297,747.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.