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Finding the Third Proportional to 154,575 and 328,104

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Solution

The third proportional to 154,575 and 328,104 is: 696,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,575 : 328,104 = 328,104 : x
  2. Step 2: Convert to fraction form
    154,575/328,104 = 328,104/x
  3. Step 3: Cross multiply
    154,575x = 328,104 × 328,104
  4. Step 4: Simplify right side
    154,575x = 107,652,234,816
  5. Step 5: Solve for x
    x = 107,652,234,816/154,575
  6. Step 6: Final answer
    x = 696,440.14

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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.