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Finding the Third Proportional to 233,062 and 359,896

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Solution

The third proportional to 233,062 and 359,896 is: 555,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,062 : 359,896 = 359,896 : x
  2. Step 2: Convert to fraction form
    233,062/359,896 = 359,896/x
  3. Step 3: Cross multiply
    233,062x = 359,896 × 359,896
  4. Step 4: Simplify right side
    233,062x = 129,525,130,816
  5. Step 5: Solve for x
    x = 129,525,130,816/233,062
  6. Step 6: Final answer
    x = 555,753.97

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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.