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Finding the Third Proportional to 233,585 and 360,885

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Solution

The third proportional to 233,585 and 360,885 is: 557,561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,585 : 360,885 = 360,885 : x
  2. Step 2: Convert to fraction form
    233,585/360,885 = 360,885/x
  3. Step 3: Cross multiply
    233,585x = 360,885 × 360,885
  4. Step 4: Simplify right side
    233,585x = 130,237,983,225
  5. Step 5: Solve for x
    x = 130,237,983,225/233,585
  6. Step 6: Final answer
    x = 557,561.42

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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.