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Finding the Third Proportional to 155,264.25 and 233,673.75

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Solution

The third proportional to 155,264.25 and 233,673.75 is: 351,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,264.25 : 233,673.75 = 233,673.75 : x
  2. Step 2: Convert to fraction form
    155,264.25/233,673.75 = 233,673.75/x
  3. Step 3: Cross multiply
    155,264.25x = 233,673.75 × 233,673.75
  4. Step 4: Simplify right side
    155,264.25x = 54,603,421,439.06
  5. Step 5: Solve for x
    x = 54,603,421,439.06/155,264.25
  6. Step 6: Final answer
    x = 351,680.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.