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Finding the Third Proportional to 106,440 and 160,444

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Solution

The third proportional to 106,440 and 160,444 is: 241,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,440 : 160,444 = 160,444 : x
  2. Step 2: Convert to fraction form
    106,440/160,444 = 160,444/x
  3. Step 3: Cross multiply
    106,440x = 160,444 × 160,444
  4. Step 4: Simplify right side
    106,440x = 25,742,277,136
  5. Step 5: Solve for x
    x = 25,742,277,136/106,440
  6. Step 6: Final answer
    x = 241,847.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.