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Finding the Third Proportional to 102,084.75 and 238,384.13

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Solution

The third proportional to 102,084.75 and 238,384.13 is: 556,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,084.75 : 238,384.13 = 238,384.13 : x
  2. Step 2: Convert to fraction form
    102,084.75/238,384.13 = 238,384.13/x
  3. Step 3: Cross multiply
    102,084.75x = 238,384.13 × 238,384.13
  4. Step 4: Simplify right side
    102,084.75x = 56,826,991,052.02
  5. Step 5: Solve for x
    x = 56,826,991,052.02/102,084.75
  6. Step 6: Final answer
    x = 556,664.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.