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Finding the Third Proportional to 177,838.88 and 260,102.25

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Solution

The third proportional to 177,838.88 and 260,102.25 is: 380,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,838.88 : 260,102.25 = 260,102.25 : x
  2. Step 2: Convert to fraction form
    177,838.88/260,102.25 = 260,102.25/x
  3. Step 3: Cross multiply
    177,838.88x = 260,102.25 × 260,102.25
  4. Step 4: Simplify right side
    177,838.88x = 67,653,180,455.06
  5. Step 5: Solve for x
    x = 67,653,180,455.06/177,838.88
  6. Step 6: Final answer
    x = 380,418.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.