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Finding the Third Proportional to 178,130 and 284,043

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Solution

The third proportional to 178,130 and 284,043 is: 452,930.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,130 : 284,043 = 284,043 : x
  2. Step 2: Convert to fraction form
    178,130/284,043 = 284,043/x
  3. Step 3: Cross multiply
    178,130x = 284,043 × 284,043
  4. Step 4: Simplify right side
    178,130x = 80,680,425,849
  5. Step 5: Solve for x
    x = 80,680,425,849/178,130
  6. Step 6: Final answer
    x = 452,930.03

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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.