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Finding the Third Proportional to 154,019.81 and 337,073.06

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Solution

The third proportional to 154,019.81 and 337,073.06 is: 737,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,019.81 : 337,073.06 = 337,073.06 : x
  2. Step 2: Convert to fraction form
    154,019.81/337,073.06 = 337,073.06/x
  3. Step 3: Cross multiply
    154,019.81x = 337,073.06 × 337,073.06
  4. Step 4: Simplify right side
    154,019.81x = 113,618,249,463.13
  5. Step 5: Solve for x
    x = 113,618,249,463.13/154,019.81
  6. Step 6: Final answer
    x = 737,685.94

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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.