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Finding the Third Proportional to 144,141 and 331,779.75

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Solution

The third proportional to 144,141 and 331,779.75 is: 763,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,141 : 331,779.75 = 331,779.75 : x
  2. Step 2: Convert to fraction form
    144,141/331,779.75 = 331,779.75/x
  3. Step 3: Cross multiply
    144,141x = 331,779.75 × 331,779.75
  4. Step 4: Simplify right side
    144,141x = 110,077,802,510.06
  5. Step 5: Solve for x
    x = 110,077,802,510.06/144,141
  6. Step 6: Final answer
    x = 763,681.41

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.