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Finding the Third Proportional to 123,238.13 and 265,156.88

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Solution

The third proportional to 123,238.13 and 265,156.88 is: 570,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,238.13 : 265,156.88 = 265,156.88 : x
  2. Step 2: Convert to fraction form
    123,238.13/265,156.88 = 265,156.88/x
  3. Step 3: Cross multiply
    123,238.13x = 265,156.88 × 265,156.88
  4. Step 4: Simplify right side
    123,238.13x = 70,308,168,359.77
  5. Step 5: Solve for x
    x = 70,308,168,359.77/123,238.13
  6. Step 6: Final answer
    x = 570,506.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.