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Finding the Third Proportional to 163,364.50 and 346,556

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Solution

The third proportional to 163,364.50 and 346,556 is: 735,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,364.50 : 346,556 = 346,556 : x
  2. Step 2: Convert to fraction form
    163,364.50/346,556 = 346,556/x
  3. Step 3: Cross multiply
    163,364.50x = 346,556 × 346,556
  4. Step 4: Simplify right side
    163,364.50x = 120,101,061,136
  5. Step 5: Solve for x
    x = 120,101,061,136/163,364.50
  6. Step 6: Final answer
    x = 735,172.34

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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.