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Finding the Third Proportional to 237,592 and 355,224

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Solution

The third proportional to 237,592 and 355,224 is: 531,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,592 : 355,224 = 355,224 : x
  2. Step 2: Convert to fraction form
    237,592/355,224 = 355,224/x
  3. Step 3: Cross multiply
    237,592x = 355,224 × 355,224
  4. Step 4: Simplify right side
    237,592x = 126,184,090,176
  5. Step 5: Solve for x
    x = 126,184,090,176/237,592
  6. Step 6: Final answer
    x = 531,095.70

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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.