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Finding the Third Proportional to 142,747 and 310,097

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Solution

The third proportional to 142,747 and 310,097 is: 673,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,747 : 310,097 = 310,097 : x
  2. Step 2: Convert to fraction form
    142,747/310,097 = 310,097/x
  3. Step 3: Cross multiply
    142,747x = 310,097 × 310,097
  4. Step 4: Simplify right side
    142,747x = 96,160,149,409
  5. Step 5: Solve for x
    x = 96,160,149,409/142,747
  6. Step 6: Final answer
    x = 673,640.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.