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Finding the Third Proportional to 152,664.75 and 216,695.25

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Solution

The third proportional to 152,664.75 and 216,695.25 is: 307,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,664.75 : 216,695.25 = 216,695.25 : x
  2. Step 2: Convert to fraction form
    152,664.75/216,695.25 = 216,695.25/x
  3. Step 3: Cross multiply
    152,664.75x = 216,695.25 × 216,695.25
  4. Step 4: Simplify right side
    152,664.75x = 46,956,831,372.56
  5. Step 5: Solve for x
    x = 46,956,831,372.56/152,664.75
  6. Step 6: Final answer
    x = 307,581.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.