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Finding the Third Proportional to 176,306.63 and 229,672.13

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Solution

The third proportional to 176,306.63 and 229,672.13 is: 299,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,306.63 : 229,672.13 = 229,672.13 : x
  2. Step 2: Convert to fraction form
    176,306.63/229,672.13 = 229,672.13/x
  3. Step 3: Cross multiply
    176,306.63x = 229,672.13 × 229,672.13
  4. Step 4: Simplify right side
    176,306.63x = 52,749,285,002.02
  5. Step 5: Solve for x
    x = 52,749,285,002.02/176,306.63
  6. Step 6: Final answer
    x = 299,190.60

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.