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Finding the Third Proportional to 163,546 and 352,898

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Solution

The third proportional to 163,546 and 352,898 is: 761,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,546 : 352,898 = 352,898 : x
  2. Step 2: Convert to fraction form
    163,546/352,898 = 352,898/x
  3. Step 3: Cross multiply
    163,546x = 352,898 × 352,898
  4. Step 4: Simplify right side
    163,546x = 124,536,998,404
  5. Step 5: Solve for x
    x = 124,536,998,404/163,546
  6. Step 6: Final answer
    x = 761,479.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.