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Finding the Third Proportional to 145,898 and 313,972

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Solution

The third proportional to 145,898 and 313,972 is: 675,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,898 : 313,972 = 313,972 : x
  2. Step 2: Convert to fraction form
    145,898/313,972 = 313,972/x
  3. Step 3: Cross multiply
    145,898x = 313,972 × 313,972
  4. Step 4: Simplify right side
    145,898x = 98,578,416,784
  5. Step 5: Solve for x
    x = 98,578,416,784/145,898
  6. Step 6: Final answer
    x = 675,666.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.