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Finding the Third Proportional to 145,811.25 and 238,096.13

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Solution

The third proportional to 145,811.25 and 238,096.13 is: 388,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,811.25 : 238,096.13 = 238,096.13 : x
  2. Step 2: Convert to fraction form
    145,811.25/238,096.13 = 238,096.13/x
  3. Step 3: Cross multiply
    145,811.25x = 238,096.13 × 238,096.13
  4. Step 4: Simplify right side
    145,811.25x = 56,689,764,740.02
  5. Step 5: Solve for x
    x = 56,689,764,740.02/145,811.25
  6. Step 6: Final answer
    x = 388,788.69

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.