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Finding the Third Proportional to 160,924.50 and 342,639

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Solution

The third proportional to 160,924.50 and 342,639 is: 729,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,924.50 : 342,639 = 342,639 : x
  2. Step 2: Convert to fraction form
    160,924.50/342,639 = 342,639/x
  3. Step 3: Cross multiply
    160,924.50x = 342,639 × 342,639
  4. Step 4: Simplify right side
    160,924.50x = 117,401,484,321
  5. Step 5: Solve for x
    x = 117,401,484,321/160,924.50
  6. Step 6: Final answer
    x = 729,543.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.