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Finding the Third Proportional to 144,250.31 and 313,898.06

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Solution

The third proportional to 144,250.31 and 313,898.06 is: 683,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,250.31 : 313,898.06 = 313,898.06 : x
  2. Step 2: Convert to fraction form
    144,250.31/313,898.06 = 313,898.06/x
  3. Step 3: Cross multiply
    144,250.31x = 313,898.06 × 313,898.06
  4. Step 4: Simplify right side
    144,250.31x = 98,531,993,641.25
  5. Step 5: Solve for x
    x = 98,531,993,641.25/144,250.31
  6. Step 6: Final answer
    x = 683,062.60

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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.