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Finding the Third Proportional to 169,463.50 and 361,445

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Solution

The third proportional to 169,463.50 and 361,445 is: 770,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,463.50 : 361,445 = 361,445 : x
  2. Step 2: Convert to fraction form
    169,463.50/361,445 = 361,445/x
  3. Step 3: Cross multiply
    169,463.50x = 361,445 × 361,445
  4. Step 4: Simplify right side
    169,463.50x = 130,642,488,025
  5. Step 5: Solve for x
    x = 130,642,488,025/169,463.50
  6. Step 6: Final answer
    x = 770,918.15

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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.