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Finding the Third Proportional to 144,191 and 310,569

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Solution

The third proportional to 144,191 and 310,569 is: 668,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,191 : 310,569 = 310,569 : x
  2. Step 2: Convert to fraction form
    144,191/310,569 = 310,569/x
  3. Step 3: Cross multiply
    144,191x = 310,569 × 310,569
  4. Step 4: Simplify right side
    144,191x = 96,453,103,761
  5. Step 5: Solve for x
    x = 96,453,103,761/144,191
  6. Step 6: Final answer
    x = 668,925.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.