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Finding the Third Proportional to 125,361.50 and 268,214.50

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Solution

The third proportional to 125,361.50 and 268,214.50 is: 573,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,361.50 : 268,214.50 = 268,214.50 : x
  2. Step 2: Convert to fraction form
    125,361.50/268,214.50 = 268,214.50/x
  3. Step 3: Cross multiply
    125,361.50x = 268,214.50 × 268,214.50
  4. Step 4: Simplify right side
    125,361.50x = 71,939,018,010.25
  5. Step 5: Solve for x
    x = 71,939,018,010.25/125,361.50
  6. Step 6: Final answer
    x = 573,852.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.