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Finding the Third Proportional to 178,140 and 284,058

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Solution

The third proportional to 178,140 and 284,058 is: 452,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,140 : 284,058 = 284,058 : x
  2. Step 2: Convert to fraction form
    178,140/284,058 = 284,058/x
  3. Step 3: Cross multiply
    178,140x = 284,058 × 284,058
  4. Step 4: Simplify right side
    178,140x = 80,688,947,364
  5. Step 5: Solve for x
    x = 80,688,947,364/178,140
  6. Step 6: Final answer
    x = 452,952.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.