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Finding the Third Proportional to 163,144 and 237,604

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Solution

The third proportional to 163,144 and 237,604 is: 346,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,144 : 237,604 = 237,604 : x
  2. Step 2: Convert to fraction form
    163,144/237,604 = 237,604/x
  3. Step 3: Cross multiply
    163,144x = 237,604 × 237,604
  4. Step 4: Simplify right side
    163,144x = 56,455,660,816
  5. Step 5: Solve for x
    x = 56,455,660,816/163,144
  6. Step 6: Final answer
    x = 346,048.04

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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.