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Finding the Third Proportional to 174,913 and 323,545

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Solution

The third proportional to 174,913 and 323,545 is: 598,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,913 : 323,545 = 323,545 : x
  2. Step 2: Convert to fraction form
    174,913/323,545 = 323,545/x
  3. Step 3: Cross multiply
    174,913x = 323,545 × 323,545
  4. Step 4: Simplify right side
    174,913x = 104,681,367,025
  5. Step 5: Solve for x
    x = 104,681,367,025/174,913
  6. Step 6: Final answer
    x = 598,476.77

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.