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Finding the Third Proportional to 149,734 and 328,178

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Solution

The third proportional to 149,734 and 328,178 is: 719,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,734 : 328,178 = 328,178 : x
  2. Step 2: Convert to fraction form
    149,734/328,178 = 328,178/x
  3. Step 3: Cross multiply
    149,734x = 328,178 × 328,178
  4. Step 4: Simplify right side
    149,734x = 107,700,799,684
  5. Step 5: Solve for x
    x = 107,700,799,684/149,734
  6. Step 6: Final answer
    x = 719,280.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.