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Finding the Third Proportional to 172,590.75 and 264,915.56

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Solution

The third proportional to 172,590.75 and 264,915.56 is: 406,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,590.75 : 264,915.56 = 264,915.56 : x
  2. Step 2: Convert to fraction form
    172,590.75/264,915.56 = 264,915.56/x
  3. Step 3: Cross multiply
    172,590.75x = 264,915.56 × 264,915.56
  4. Step 4: Simplify right side
    172,590.75x = 70,180,255,254.69
  5. Step 5: Solve for x
    x = 70,180,255,254.69/172,590.75
  6. Step 6: Final answer
    x = 406,628.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.