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Finding the Third Proportional to 164,815 and 349,862

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Solution

The third proportional to 164,815 and 349,862 is: 742,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,815 : 349,862 = 349,862 : x
  2. Step 2: Convert to fraction form
    164,815/349,862 = 349,862/x
  3. Step 3: Cross multiply
    164,815x = 349,862 × 349,862
  4. Step 4: Simplify right side
    164,815x = 122,403,419,044
  5. Step 5: Solve for x
    x = 122,403,419,044/164,815
  6. Step 6: Final answer
    x = 742,671.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.