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Finding the Third Proportional to 115,482.38 and 238,713.75

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Solution

The third proportional to 115,482.38 and 238,713.75 is: 493,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,482.38 : 238,713.75 = 238,713.75 : x
  2. Step 2: Convert to fraction form
    115,482.38/238,713.75 = 238,713.75/x
  3. Step 3: Cross multiply
    115,482.38x = 238,713.75 × 238,713.75
  4. Step 4: Simplify right side
    115,482.38x = 56,984,254,439.06
  5. Step 5: Solve for x
    x = 56,984,254,439.06/115,482.38
  6. Step 6: Final answer
    x = 493,445.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.