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Finding the Third Proportional to 154,825.50 and 328,258.50

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Solution

The third proportional to 154,825.50 and 328,258.50 is: 695,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,825.50 : 328,258.50 = 328,258.50 : x
  2. Step 2: Convert to fraction form
    154,825.50/328,258.50 = 328,258.50/x
  3. Step 3: Cross multiply
    154,825.50x = 328,258.50 × 328,258.50
  4. Step 4: Simplify right side
    154,825.50x = 107,753,642,822.25
  5. Step 5: Solve for x
    x = 107,753,642,822.25/154,825.50
  6. Step 6: Final answer
    x = 695,968.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.