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Finding the Third Proportional to 153,268.88 and 334,123.13

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Solution

The third proportional to 153,268.88 and 334,123.13 is: 728,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,268.88 : 334,123.13 = 334,123.13 : x
  2. Step 2: Convert to fraction form
    153,268.88/334,123.13 = 334,123.13/x
  3. Step 3: Cross multiply
    153,268.88x = 334,123.13 × 334,123.13
  4. Step 4: Simplify right side
    153,268.88x = 111,638,262,659.77
  5. Step 5: Solve for x
    x = 111,638,262,659.77/153,268.88
  6. Step 6: Final answer
    x = 728,381.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.