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Finding the Third Proportional to 160,592.63 and 225,574.88

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Solution

The third proportional to 160,592.63 and 225,574.88 is: 316,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,592.63 : 225,574.88 = 225,574.88 : x
  2. Step 2: Convert to fraction form
    160,592.63/225,574.88 = 225,574.88/x
  3. Step 3: Cross multiply
    160,592.63x = 225,574.88 × 225,574.88
  4. Step 4: Simplify right side
    160,592.63x = 50,884,024,231.27
  5. Step 5: Solve for x
    x = 50,884,024,231.27/160,592.63
  6. Step 6: Final answer
    x = 316,851.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.