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Finding the Third Proportional to 159,020 and 347,524

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Solution

The third proportional to 159,020 and 347,524 is: 759,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,020 : 347,524 = 347,524 : x
  2. Step 2: Convert to fraction form
    159,020/347,524 = 347,524/x
  3. Step 3: Cross multiply
    159,020x = 347,524 × 347,524
  4. Step 4: Simplify right side
    159,020x = 120,772,930,576
  5. Step 5: Solve for x
    x = 120,772,930,576/159,020
  6. Step 6: Final answer
    x = 759,482.65

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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.