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Finding the Third Proportional to 178,616 and 243,237

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Solution

The third proportional to 178,616 and 243,237 is: 331,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,616 : 243,237 = 243,237 : x
  2. Step 2: Convert to fraction form
    178,616/243,237 = 243,237/x
  3. Step 3: Cross multiply
    178,616x = 243,237 × 243,237
  4. Step 4: Simplify right side
    178,616x = 59,164,238,169
  5. Step 5: Solve for x
    x = 59,164,238,169/178,616
  6. Step 6: Final answer
    x = 331,237.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.