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Finding the Third Proportional to 233,502.75 and 362,292.75

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Solution

The third proportional to 233,502.75 and 362,292.75 is: 562,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,502.75 : 362,292.75 = 362,292.75 : x
  2. Step 2: Convert to fraction form
    233,502.75/362,292.75 = 362,292.75/x
  3. Step 3: Cross multiply
    233,502.75x = 362,292.75 × 362,292.75
  4. Step 4: Simplify right side
    233,502.75x = 131,256,036,702.56
  5. Step 5: Solve for x
    x = 131,256,036,702.56/233,502.75
  6. Step 6: Final answer
    x = 562,117.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.