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Finding the Third Proportional to 145,392 and 313,032

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Solution

The third proportional to 145,392 and 313,032 is: 673,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,392 : 313,032 = 313,032 : x
  2. Step 2: Convert to fraction form
    145,392/313,032 = 313,032/x
  3. Step 3: Cross multiply
    145,392x = 313,032 × 313,032
  4. Step 4: Simplify right side
    145,392x = 97,989,033,024
  5. Step 5: Solve for x
    x = 97,989,033,024/145,392
  6. Step 6: Final answer
    x = 673,964.41

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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.