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Finding the Third Proportional to 164,031.75 and 237,056.63

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Solution

The third proportional to 164,031.75 and 237,056.63 is: 342,591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,031.75 : 237,056.63 = 237,056.63 : x
  2. Step 2: Convert to fraction form
    164,031.75/237,056.63 = 237,056.63/x
  3. Step 3: Cross multiply
    164,031.75x = 237,056.63 × 237,056.63
  4. Step 4: Simplify right side
    164,031.75x = 56,195,843,456.39
  5. Step 5: Solve for x
    x = 56,195,843,456.39/164,031.75
  6. Step 6: Final answer
    x = 342,591.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.