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Finding the Third Proportional to 178,230 and 379,572

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Solution

The third proportional to 178,230 and 379,572 is: 808,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,230 : 379,572 = 379,572 : x
  2. Step 2: Convert to fraction form
    178,230/379,572 = 379,572/x
  3. Step 3: Cross multiply
    178,230x = 379,572 × 379,572
  4. Step 4: Simplify right side
    178,230x = 144,074,903,184
  5. Step 5: Solve for x
    x = 144,074,903,184/178,230
  6. Step 6: Final answer
    x = 808,365.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.