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Finding the Third Proportional to 129,256.13 and 273,415.88

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Solution

The third proportional to 129,256.13 and 273,415.88 is: 578,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,256.13 : 273,415.88 = 273,415.88 : x
  2. Step 2: Convert to fraction form
    129,256.13/273,415.88 = 273,415.88/x
  3. Step 3: Cross multiply
    129,256.13x = 273,415.88 × 273,415.88
  4. Step 4: Simplify right side
    129,256.13x = 74,756,240,702.02
  5. Step 5: Solve for x
    x = 74,756,240,702.02/129,256.13
  6. Step 6: Final answer
    x = 578,357.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.