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Finding the Third Proportional to 152,726 and 232,330

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Solution

The third proportional to 152,726 and 232,330 is: 353,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,726 : 232,330 = 232,330 : x
  2. Step 2: Convert to fraction form
    152,726/232,330 = 232,330/x
  3. Step 3: Cross multiply
    152,726x = 232,330 × 232,330
  4. Step 4: Simplify right side
    152,726x = 53,977,228,900
  5. Step 5: Solve for x
    x = 53,977,228,900/152,726
  6. Step 6: Final answer
    x = 353,425.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.