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Finding the Third Proportional to 229,074.75 and 350,416.13

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Solution

The third proportional to 229,074.75 and 350,416.13 is: 536,032.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,074.75 : 350,416.13 = 350,416.13 : x
  2. Step 2: Convert to fraction form
    229,074.75/350,416.13 = 350,416.13/x
  3. Step 3: Cross multiply
    229,074.75x = 350,416.13 × 350,416.13
  4. Step 4: Simplify right side
    229,074.75x = 122,791,460,660.02
  5. Step 5: Solve for x
    x = 122,791,460,660.02/229,074.75
  6. Step 6: Final answer
    x = 536,032.28

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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.