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Finding the Third Proportional to 220,731 and 349,752

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Solution

The third proportional to 220,731 and 349,752 is: 554,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,731 : 349,752 = 349,752 : x
  2. Step 2: Convert to fraction form
    220,731/349,752 = 349,752/x
  3. Step 3: Cross multiply
    220,731x = 349,752 × 349,752
  4. Step 4: Simplify right side
    220,731x = 122,326,461,504
  5. Step 5: Solve for x
    x = 122,326,461,504/220,731
  6. Step 6: Final answer
    x = 554,187.96

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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.