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Finding the Third Proportional to 174,819 and 264,590

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Solution

The third proportional to 174,819 and 264,590 is: 400,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,819 : 264,590 = 264,590 : x
  2. Step 2: Convert to fraction form
    174,819/264,590 = 264,590/x
  3. Step 3: Cross multiply
    174,819x = 264,590 × 264,590
  4. Step 4: Simplify right side
    174,819x = 70,007,868,100
  5. Step 5: Solve for x
    x = 70,007,868,100/174,819
  6. Step 6: Final answer
    x = 400,459.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.