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Finding the Third Proportional to 162,928 and 340,752

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Solution

The third proportional to 162,928 and 340,752 is: 712,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,928 : 340,752 = 340,752 : x
  2. Step 2: Convert to fraction form
    162,928/340,752 = 340,752/x
  3. Step 3: Cross multiply
    162,928x = 340,752 × 340,752
  4. Step 4: Simplify right side
    162,928x = 116,111,925,504
  5. Step 5: Solve for x
    x = 116,111,925,504/162,928
  6. Step 6: Final answer
    x = 712,657.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.