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Finding the Third Proportional to 163,000.50 and 343,701

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Solution

The third proportional to 163,000.50 and 343,701 is: 724,724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,000.50 : 343,701 = 343,701 : x
  2. Step 2: Convert to fraction form
    163,000.50/343,701 = 343,701/x
  3. Step 3: Cross multiply
    163,000.50x = 343,701 × 343,701
  4. Step 4: Simplify right side
    163,000.50x = 118,130,377,401
  5. Step 5: Solve for x
    x = 118,130,377,401/163,000.50
  6. Step 6: Final answer
    x = 724,724.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.