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Finding the Third Proportional to 146,053.50 and 318,411

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Solution

The third proportional to 146,053.50 and 318,411 is: 694,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,053.50 : 318,411 = 318,411 : x
  2. Step 2: Convert to fraction form
    146,053.50/318,411 = 318,411/x
  3. Step 3: Cross multiply
    146,053.50x = 318,411 × 318,411
  4. Step 4: Simplify right side
    146,053.50x = 101,385,564,921
  5. Step 5: Solve for x
    x = 101,385,564,921/146,053.50
  6. Step 6: Final answer
    x = 694,167.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.