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Finding the Third Proportional to 237,110 and 355,672

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Solution

The third proportional to 237,110 and 355,672 is: 533,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,110 : 355,672 = 355,672 : x
  2. Step 2: Convert to fraction form
    237,110/355,672 = 355,672/x
  3. Step 3: Cross multiply
    237,110x = 355,672 × 355,672
  4. Step 4: Simplify right side
    237,110x = 126,502,571,584
  5. Step 5: Solve for x
    x = 126,502,571,584/237,110
  6. Step 6: Final answer
    x = 533,518.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.