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Finding the Third Proportional to 233,585.25 and 508,176.75

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Solution

The third proportional to 233,585.25 and 508,176.75 is: 1,105,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,585.25 : 508,176.75 = 508,176.75 : x
  2. Step 2: Convert to fraction form
    233,585.25/508,176.75 = 508,176.75/x
  3. Step 3: Cross multiply
    233,585.25x = 508,176.75 × 508,176.75
  4. Step 4: Simplify right side
    233,585.25x = 258,243,609,240.56
  5. Step 5: Solve for x
    x = 258,243,609,240.56/233,585.25
  6. Step 6: Final answer
    x = 1,105,564.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.