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Finding the Third Proportional to 144,231.75 and 316,140.75

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Solution

The third proportional to 144,231.75 and 316,140.75 is: 692,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,231.75 : 316,140.75 = 316,140.75 : x
  2. Step 2: Convert to fraction form
    144,231.75/316,140.75 = 316,140.75/x
  3. Step 3: Cross multiply
    144,231.75x = 316,140.75 × 316,140.75
  4. Step 4: Simplify right side
    144,231.75x = 99,944,973,810.56
  5. Step 5: Solve for x
    x = 99,944,973,810.56/144,231.75
  6. Step 6: Final answer
    x = 692,947.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.