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Finding the Third Proportional to 164,918 and 243,732

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Solution

The third proportional to 164,918 and 243,732 is: 360,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,918 : 243,732 = 243,732 : x
  2. Step 2: Convert to fraction form
    164,918/243,732 = 243,732/x
  3. Step 3: Cross multiply
    164,918x = 243,732 × 243,732
  4. Step 4: Simplify right side
    164,918x = 59,405,287,824
  5. Step 5: Solve for x
    x = 59,405,287,824/164,918
  6. Step 6: Final answer
    x = 360,211.06

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.