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Finding the Third Proportional to 169,768 and 358,116

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Solution

The third proportional to 169,768 and 358,116 is: 755,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,768 : 358,116 = 358,116 : x
  2. Step 2: Convert to fraction form
    169,768/358,116 = 358,116/x
  3. Step 3: Cross multiply
    169,768x = 358,116 × 358,116
  4. Step 4: Simplify right side
    169,768x = 128,247,069,456
  5. Step 5: Solve for x
    x = 128,247,069,456/169,768
  6. Step 6: Final answer
    x = 755,425.46

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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.