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Finding the Third Proportional to 130,560 and 195,345

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Solution

The third proportional to 130,560 and 195,345 is: 292,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,560 : 195,345 = 195,345 : x
  2. Step 2: Convert to fraction form
    130,560/195,345 = 195,345/x
  3. Step 3: Cross multiply
    130,560x = 195,345 × 195,345
  4. Step 4: Simplify right side
    130,560x = 38,159,669,025
  5. Step 5: Solve for x
    x = 38,159,669,025/130,560
  6. Step 6: Final answer
    x = 292,276.88

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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.