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Finding the Third Proportional to 153,994 and 337,412

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Solution

The third proportional to 153,994 and 337,412 is: 739,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,994 : 337,412 = 337,412 : x
  2. Step 2: Convert to fraction form
    153,994/337,412 = 337,412/x
  3. Step 3: Cross multiply
    153,994x = 337,412 × 337,412
  4. Step 4: Simplify right side
    153,994x = 113,846,857,744
  5. Step 5: Solve for x
    x = 113,846,857,744/153,994
  6. Step 6: Final answer
    x = 739,294.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.