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Finding the Third Proportional to 177,834.75 and 316,196.25

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Solution

The third proportional to 177,834.75 and 316,196.25 is: 562,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,834.75 : 316,196.25 = 316,196.25 : x
  2. Step 2: Convert to fraction form
    177,834.75/316,196.25 = 316,196.25/x
  3. Step 3: Cross multiply
    177,834.75x = 316,196.25 × 316,196.25
  4. Step 4: Simplify right side
    177,834.75x = 99,980,068,514.06
  5. Step 5: Solve for x
    x = 99,980,068,514.06/177,834.75
  6. Step 6: Final answer
    x = 562,207.72

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.