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Finding the Third Proportional to 174,931.50 and 365,397

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Solution

The third proportional to 174,931.50 and 365,397 is: 763,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,931.50 : 365,397 = 365,397 : x
  2. Step 2: Convert to fraction form
    174,931.50/365,397 = 365,397/x
  3. Step 3: Cross multiply
    174,931.50x = 365,397 × 365,397
  4. Step 4: Simplify right side
    174,931.50x = 133,514,967,609
  5. Step 5: Solve for x
    x = 133,514,967,609/174,931.50
  6. Step 6: Final answer
    x = 763,241.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.