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Finding the Third Proportional to 178,246.50 and 387,232.50

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Solution

The third proportional to 178,246.50 and 387,232.50 is: 841,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,246.50 : 387,232.50 = 387,232.50 : x
  2. Step 2: Convert to fraction form
    178,246.50/387,232.50 = 387,232.50/x
  3. Step 3: Cross multiply
    178,246.50x = 387,232.50 × 387,232.50
  4. Step 4: Simplify right side
    178,246.50x = 149,949,009,056.25
  5. Step 5: Solve for x
    x = 149,949,009,056.25/178,246.50
  6. Step 6: Final answer
    x = 841,245.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.