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Finding the Third Proportional to 233,181 and 360,080

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Solution

The third proportional to 233,181 and 360,080 is: 556,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,181 : 360,080 = 360,080 : x
  2. Step 2: Convert to fraction form
    233,181/360,080 = 360,080/x
  3. Step 3: Cross multiply
    233,181x = 360,080 × 360,080
  4. Step 4: Simplify right side
    233,181x = 129,657,606,400
  5. Step 5: Solve for x
    x = 129,657,606,400/233,181
  6. Step 6: Final answer
    x = 556,038.47

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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.