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Finding the Third Proportional to 150,643.13 and 233,258.06

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Solution

The third proportional to 150,643.13 and 233,258.06 is: 361,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,643.13 : 233,258.06 = 233,258.06 : x
  2. Step 2: Convert to fraction form
    150,643.13/233,258.06 = 233,258.06/x
  3. Step 3: Cross multiply
    150,643.13x = 233,258.06 × 233,258.06
  4. Step 4: Simplify right side
    150,643.13x = 54,409,323,721.25
  5. Step 5: Solve for x
    x = 54,409,323,721.25/150,643.13
  6. Step 6: Final answer
    x = 361,180.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.