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Finding the Third Proportional to 161,091.84 and 243,673.03

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Solution

The third proportional to 161,091.84 and 243,673.03 is: 368,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,091.84 : 243,673.03 = 243,673.03 : x
  2. Step 2: Convert to fraction form
    161,091.84/243,673.03 = 243,673.03/x
  3. Step 3: Cross multiply
    161,091.84x = 243,673.03 × 243,673.03
  4. Step 4: Simplify right side
    161,091.84x = 59,376,546,158.56
  5. Step 5: Solve for x
    x = 59,376,546,158.56/161,091.84
  6. Step 6: Final answer
    x = 368,588.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.