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Finding the Third Proportional to 230,176 and 353,283

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Solution

The third proportional to 230,176 and 353,283 is: 542,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,176 : 353,283 = 353,283 : x
  2. Step 2: Convert to fraction form
    230,176/353,283 = 353,283/x
  3. Step 3: Cross multiply
    230,176x = 353,283 × 353,283
  4. Step 4: Simplify right side
    230,176x = 124,808,878,089
  5. Step 5: Solve for x
    x = 124,808,878,089/230,176
  6. Step 6: Final answer
    x = 542,232.37

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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.