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Finding the Third Proportional to 146,356 and 297,896

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Solution

The third proportional to 146,356 and 297,896 is: 606,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,356 : 297,896 = 297,896 : x
  2. Step 2: Convert to fraction form
    146,356/297,896 = 297,896/x
  3. Step 3: Cross multiply
    146,356x = 297,896 × 297,896
  4. Step 4: Simplify right side
    146,356x = 88,742,026,816
  5. Step 5: Solve for x
    x = 88,742,026,816/146,356
  6. Step 6: Final answer
    x = 606,343.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.