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Finding the Third Proportional to 168,437 and 363,590

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Solution

The third proportional to 168,437 and 363,590 is: 784,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,437 : 363,590 = 363,590 : x
  2. Step 2: Convert to fraction form
    168,437/363,590 = 363,590/x
  3. Step 3: Cross multiply
    168,437x = 363,590 × 363,590
  4. Step 4: Simplify right side
    168,437x = 132,197,688,100
  5. Step 5: Solve for x
    x = 132,197,688,100/168,437
  6. Step 6: Final answer
    x = 784,849.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.