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Finding the Third Proportional to 114,035.34 and 164,264.20

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Solution

The third proportional to 114,035.34 and 164,264.20 is: 236,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,035.34 : 164,264.20 = 164,264.20 : x
  2. Step 2: Convert to fraction form
    114,035.34/164,264.20 = 164,264.20/x
  3. Step 3: Cross multiply
    114,035.34x = 164,264.20 × 164,264.20
  4. Step 4: Simplify right side
    114,035.34x = 26,982,728,428.29
  5. Step 5: Solve for x
    x = 26,982,728,428.29/114,035.34
  6. Step 6: Final answer
    x = 236,617.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.