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Finding the Third Proportional to 160,374.30 and 224,212.64

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Solution

The third proportional to 160,374.30 and 224,212.64 is: 313,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,374.30 : 224,212.64 = 224,212.64 : x
  2. Step 2: Convert to fraction form
    160,374.30/224,212.64 = 224,212.64/x
  3. Step 3: Cross multiply
    160,374.30x = 224,212.64 × 224,212.64
  4. Step 4: Simplify right side
    160,374.30x = 50,271,308,216.04
  5. Step 5: Solve for x
    x = 50,271,308,216.04/160,374.30
  6. Step 6: Final answer
    x = 313,462.36

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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.