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Finding the Third Proportional to 120,853.13 and 265,838.63

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Solution

The third proportional to 120,853.13 and 265,838.63 is: 584,760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,853.13 : 265,838.63 = 265,838.63 : x
  2. Step 2: Convert to fraction form
    120,853.13/265,838.63 = 265,838.63/x
  3. Step 3: Cross multiply
    120,853.13x = 265,838.63 × 265,838.63
  4. Step 4: Simplify right side
    120,853.13x = 70,670,174,541.89
  5. Step 5: Solve for x
    x = 70,670,174,541.89/120,853.13
  6. Step 6: Final answer
    x = 584,760.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.