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Finding the Third Proportional to 119,486 and 176,505

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Solution

The third proportional to 119,486 and 176,505 is: 260,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,486 : 176,505 = 176,505 : x
  2. Step 2: Convert to fraction form
    119,486/176,505 = 176,505/x
  3. Step 3: Cross multiply
    119,486x = 176,505 × 176,505
  4. Step 4: Simplify right side
    119,486x = 31,154,015,025
  5. Step 5: Solve for x
    x = 31,154,015,025/119,486
  6. Step 6: Final answer
    x = 260,733.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.