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Finding the Third Proportional to 237,652 and 355,276

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Solution

The third proportional to 237,652 and 355,276 is: 531,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,652 : 355,276 = 355,276 : x
  2. Step 2: Convert to fraction form
    237,652/355,276 = 355,276/x
  3. Step 3: Cross multiply
    237,652x = 355,276 × 355,276
  4. Step 4: Simplify right side
    237,652x = 126,221,036,176
  5. Step 5: Solve for x
    x = 126,221,036,176/237,652
  6. Step 6: Final answer
    x = 531,117.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.