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Finding the Third Proportional to 164,706 and 240,777

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Solution

The third proportional to 164,706 and 240,777 is: 351,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,706 : 240,777 = 240,777 : x
  2. Step 2: Convert to fraction form
    164,706/240,777 = 240,777/x
  3. Step 3: Cross multiply
    164,706x = 240,777 × 240,777
  4. Step 4: Simplify right side
    164,706x = 57,973,563,729
  5. Step 5: Solve for x
    x = 57,973,563,729/164,706
  6. Step 6: Final answer
    x = 351,982.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.