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Finding the Third Proportional to 164,829 and 352,986

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Solution

The third proportional to 164,829 and 352,986 is: 755,929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,829 : 352,986 = 352,986 : x
  2. Step 2: Convert to fraction form
    164,829/352,986 = 352,986/x
  3. Step 3: Cross multiply
    164,829x = 352,986 × 352,986
  4. Step 4: Simplify right side
    164,829x = 124,599,116,196
  5. Step 5: Solve for x
    x = 124,599,116,196/164,829
  6. Step 6: Final answer
    x = 755,929.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.