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Finding the Third Proportional to 119,319 and 167,246

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Solution

The third proportional to 119,319 and 167,246 is: 234,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,319 : 167,246 = 167,246 : x
  2. Step 2: Convert to fraction form
    119,319/167,246 = 167,246/x
  3. Step 3: Cross multiply
    119,319x = 167,246 × 167,246
  4. Step 4: Simplify right side
    119,319x = 27,971,224,516
  5. Step 5: Solve for x
    x = 27,971,224,516/119,319
  6. Step 6: Final answer
    x = 234,423.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.