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Finding the Third Proportional to 129,075 and 277,924.50

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Solution

The third proportional to 129,075 and 277,924.50 is: 598,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,075 : 277,924.50 = 277,924.50 : x
  2. Step 2: Convert to fraction form
    129,075/277,924.50 = 277,924.50/x
  3. Step 3: Cross multiply
    129,075x = 277,924.50 × 277,924.50
  4. Step 4: Simplify right side
    129,075x = 77,242,027,700.25
  5. Step 5: Solve for x
    x = 77,242,027,700.25/129,075
  6. Step 6: Final answer
    x = 598,427.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.