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Finding the Third Proportional to 152,043 and 323,769

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Solution

The third proportional to 152,043 and 323,769 is: 689,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,043 : 323,769 = 323,769 : x
  2. Step 2: Convert to fraction form
    152,043/323,769 = 323,769/x
  3. Step 3: Cross multiply
    152,043x = 323,769 × 323,769
  4. Step 4: Simplify right side
    152,043x = 104,826,365,361
  5. Step 5: Solve for x
    x = 104,826,365,361/152,043
  6. Step 6: Final answer
    x = 689,452.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.