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Finding the Third Proportional to 154,572 and 235,104

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Solution

The third proportional to 154,572 and 235,104 is: 357,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,572 : 235,104 = 235,104 : x
  2. Step 2: Convert to fraction form
    154,572/235,104 = 235,104/x
  3. Step 3: Cross multiply
    154,572x = 235,104 × 235,104
  4. Step 4: Simplify right side
    154,572x = 55,273,890,816
  5. Step 5: Solve for x
    x = 55,273,890,816/154,572
  6. Step 6: Final answer
    x = 357,593.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.