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Finding the Third Proportional to 137,020 and 300,224

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Solution

The third proportional to 137,020 and 300,224 is: 657,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,020 : 300,224 = 300,224 : x
  2. Step 2: Convert to fraction form
    137,020/300,224 = 300,224/x
  3. Step 3: Cross multiply
    137,020x = 300,224 × 300,224
  4. Step 4: Simplify right side
    137,020x = 90,134,450,176
  5. Step 5: Solve for x
    x = 90,134,450,176/137,020
  6. Step 6: Final answer
    x = 657,819.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.