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Finding the Third Proportional to 178,533 and 236,938.50

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Solution

The third proportional to 178,533 and 236,938.50 is: 314,450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,533 : 236,938.50 = 236,938.50 : x
  2. Step 2: Convert to fraction form
    178,533/236,938.50 = 236,938.50/x
  3. Step 3: Cross multiply
    178,533x = 236,938.50 × 236,938.50
  4. Step 4: Simplify right side
    178,533x = 56,139,852,782.25
  5. Step 5: Solve for x
    x = 56,139,852,782.25/178,533
  6. Step 6: Final answer
    x = 314,450.85

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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.