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Finding the Third Proportional to 233,232 and 360,150

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Solution

The third proportional to 233,232 and 360,150 is: 556,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,232 : 360,150 = 360,150 : x
  2. Step 2: Convert to fraction form
    233,232/360,150 = 360,150/x
  3. Step 3: Cross multiply
    233,232x = 360,150 × 360,150
  4. Step 4: Simplify right side
    233,232x = 129,708,022,500
  5. Step 5: Solve for x
    x = 129,708,022,500/233,232
  6. Step 6: Final answer
    x = 556,133.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.