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Finding the Third Proportional to 178,485 and 237,952.50

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Solution

The third proportional to 178,485 and 237,952.50 is: 317,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,485 : 237,952.50 = 237,952.50 : x
  2. Step 2: Convert to fraction form
    178,485/237,952.50 = 237,952.50/x
  3. Step 3: Cross multiply
    178,485x = 237,952.50 × 237,952.50
  4. Step 4: Simplify right side
    178,485x = 56,621,392,256.25
  5. Step 5: Solve for x
    x = 56,621,392,256.25/178,485
  6. Step 6: Final answer
    x = 317,233.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.