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Finding the Third Proportional to 152,669 and 224,562

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Solution

The third proportional to 152,669 and 224,562 is: 330,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,669 : 224,562 = 224,562 : x
  2. Step 2: Convert to fraction form
    152,669/224,562 = 224,562/x
  3. Step 3: Cross multiply
    152,669x = 224,562 × 224,562
  4. Step 4: Simplify right side
    152,669x = 50,428,091,844
  5. Step 5: Solve for x
    x = 50,428,091,844/152,669
  6. Step 6: Final answer
    x = 330,309.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.