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Finding the Third Proportional to 163,118 and 237,576

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Solution

The third proportional to 163,118 and 237,576 is: 346,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,118 : 237,576 = 237,576 : x
  2. Step 2: Convert to fraction form
    163,118/237,576 = 237,576/x
  3. Step 3: Cross multiply
    163,118x = 237,576 × 237,576
  4. Step 4: Simplify right side
    163,118x = 56,442,355,776
  5. Step 5: Solve for x
    x = 56,442,355,776/163,118
  6. Step 6: Final answer
    x = 346,021.63

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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.