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Finding the Third Proportional to 166,117.50 and 355,838.63

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Solution

The third proportional to 166,117.50 and 355,838.63 is: 762,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,117.50 : 355,838.63 = 355,838.63 : x
  2. Step 2: Convert to fraction form
    166,117.50/355,838.63 = 355,838.63/x
  3. Step 3: Cross multiply
    166,117.50x = 355,838.63 × 355,838.63
  4. Step 4: Simplify right side
    166,117.50x = 126,621,127,041.89
  5. Step 5: Solve for x
    x = 126,621,127,041.89/166,117.50
  6. Step 6: Final answer
    x = 762,238.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.