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Finding the Third Proportional to 78,241.50 and 167,553

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Solution

The third proportional to 78,241.50 and 167,553 is: 358,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,241.50 : 167,553 = 167,553 : x
  2. Step 2: Convert to fraction form
    78,241.50/167,553 = 167,553/x
  3. Step 3: Cross multiply
    78,241.50x = 167,553 × 167,553
  4. Step 4: Simplify right side
    78,241.50x = 28,074,007,809
  5. Step 5: Solve for x
    x = 28,074,007,809/78,241.50
  6. Step 6: Final answer
    x = 358,812.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.