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Finding the Third Proportional to 229,185 and 349,710

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Solution

The third proportional to 229,185 and 349,710 is: 533,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,185 : 349,710 = 349,710 : x
  2. Step 2: Convert to fraction form
    229,185/349,710 = 349,710/x
  3. Step 3: Cross multiply
    229,185x = 349,710 × 349,710
  4. Step 4: Simplify right side
    229,185x = 122,297,084,100
  5. Step 5: Solve for x
    x = 122,297,084,100/229,185
  6. Step 6: Final answer
    x = 533,617.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.