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Finding the Third Proportional to 169,754 and 358,096

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Solution

The third proportional to 169,754 and 358,096 is: 755,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,754 : 358,096 = 358,096 : x
  2. Step 2: Convert to fraction form
    169,754/358,096 = 358,096/x
  3. Step 3: Cross multiply
    169,754x = 358,096 × 358,096
  4. Step 4: Simplify right side
    169,754x = 128,232,745,216
  5. Step 5: Solve for x
    x = 128,232,745,216/169,754
  6. Step 6: Final answer
    x = 755,403.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.