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Finding the Third Proportional to 154,825.50 and 256,237.50

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Solution

The third proportional to 154,825.50 and 256,237.50 is: 424,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,825.50 : 256,237.50 = 256,237.50 : x
  2. Step 2: Convert to fraction form
    154,825.50/256,237.50 = 256,237.50/x
  3. Step 3: Cross multiply
    154,825.50x = 256,237.50 × 256,237.50
  4. Step 4: Simplify right side
    154,825.50x = 65,657,656,406.25
  5. Step 5: Solve for x
    x = 65,657,656,406.25/154,825.50
  6. Step 6: Final answer
    x = 424,075.21

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.