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Finding the Third Proportional to 162,946.27 and 238,586.34

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Solution

The third proportional to 162,946.27 and 238,586.34 is: 349,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,946.27 : 238,586.34 = 238,586.34 : x
  2. Step 2: Convert to fraction form
    162,946.27/238,586.34 = 238,586.34/x
  3. Step 3: Cross multiply
    162,946.27x = 238,586.34 × 238,586.34
  4. Step 4: Simplify right side
    162,946.27x = 56,923,443,423.99
  5. Step 5: Solve for x
    x = 56,923,443,423.99/162,946.27
  6. Step 6: Final answer
    x = 349,338.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.