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Finding the Third Proportional to 160,347.09 and 253,889.44

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Solution

The third proportional to 160,347.09 and 253,889.44 is: 402,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,347.09 : 253,889.44 = 253,889.44 : x
  2. Step 2: Convert to fraction form
    160,347.09/253,889.44 = 253,889.44/x
  3. Step 3: Cross multiply
    160,347.09x = 253,889.44 × 253,889.44
  4. Step 4: Simplify right side
    160,347.09x = 64,459,846,474.07
  5. Step 5: Solve for x
    x = 64,459,846,474.07/160,347.09
  6. Step 6: Final answer
    x = 402,001.96

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.