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Finding the Third Proportional to 194,788 and 260,106

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Solution

The third proportional to 194,788 and 260,106 is: 347,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,788 : 260,106 = 260,106 : x
  2. Step 2: Convert to fraction form
    194,788/260,106 = 260,106/x
  3. Step 3: Cross multiply
    194,788x = 260,106 × 260,106
  4. Step 4: Simplify right side
    194,788x = 67,655,131,236
  5. Step 5: Solve for x
    x = 67,655,131,236/194,788
  6. Step 6: Final answer
    x = 347,327.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.