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Finding the Third Proportional to 149,725.13 and 322,869.38

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Solution

The third proportional to 149,725.13 and 322,869.38 is: 696,240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,725.13 : 322,869.38 = 322,869.38 : x
  2. Step 2: Convert to fraction form
    149,725.13/322,869.38 = 322,869.38/x
  3. Step 3: Cross multiply
    149,725.13x = 322,869.38 × 322,869.38
  4. Step 4: Simplify right side
    149,725.13x = 104,244,633,312.89
  5. Step 5: Solve for x
    x = 104,244,633,312.89/149,725.13
  6. Step 6: Final answer
    x = 696,240.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.