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Finding the Third Proportional to 145,394 and 313,036

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Solution

The third proportional to 145,394 and 313,036 is: 673,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,394 : 313,036 = 313,036 : x
  2. Step 2: Convert to fraction form
    145,394/313,036 = 313,036/x
  3. Step 3: Cross multiply
    145,394x = 313,036 × 313,036
  4. Step 4: Simplify right side
    145,394x = 97,991,537,296
  5. Step 5: Solve for x
    x = 97,991,537,296/145,394
  6. Step 6: Final answer
    x = 673,972.36

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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.