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Finding the Third Proportional to 130,320 and 195,444

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Solution

The third proportional to 130,320 and 195,444 is: 293,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,320 : 195,444 = 195,444 : x
  2. Step 2: Convert to fraction form
    130,320/195,444 = 195,444/x
  3. Step 3: Cross multiply
    130,320x = 195,444 × 195,444
  4. Step 4: Simplify right side
    130,320x = 38,198,357,136
  5. Step 5: Solve for x
    x = 38,198,357,136/130,320
  6. Step 6: Final answer
    x = 293,112.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.