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Finding the Third Proportional to 233,240 and 360,164

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Solution

The third proportional to 233,240 and 360,164 is: 556,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,240 : 360,164 = 360,164 : x
  2. Step 2: Convert to fraction form
    233,240/360,164 = 360,164/x
  3. Step 3: Cross multiply
    233,240x = 360,164 × 360,164
  4. Step 4: Simplify right side
    233,240x = 129,718,106,896
  5. Step 5: Solve for x
    x = 129,718,106,896/233,240
  6. Step 6: Final answer
    x = 556,157.21

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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.