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Finding the Third Proportional to 150,888 and 314,169

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Solution

The third proportional to 150,888 and 314,169 is: 654,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,888 : 314,169 = 314,169 : x
  2. Step 2: Convert to fraction form
    150,888/314,169 = 314,169/x
  3. Step 3: Cross multiply
    150,888x = 314,169 × 314,169
  4. Step 4: Simplify right side
    150,888x = 98,702,160,561
  5. Step 5: Solve for x
    x = 98,702,160,561/150,888
  6. Step 6: Final answer
    x = 654,141.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.