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Finding the Third Proportional to 220,770 and 349,732.50

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Solution

The third proportional to 220,770 and 349,732.50 is: 554,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,770 : 349,732.50 = 349,732.50 : x
  2. Step 2: Convert to fraction form
    220,770/349,732.50 = 349,732.50/x
  3. Step 3: Cross multiply
    220,770x = 349,732.50 × 349,732.50
  4. Step 4: Simplify right side
    220,770x = 122,312,821,556.25
  5. Step 5: Solve for x
    x = 122,312,821,556.25/220,770
  6. Step 6: Final answer
    x = 554,028.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.