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Finding the Third Proportional to 153,762 and 334,436

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Solution

The third proportional to 153,762 and 334,436 is: 727,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,762 : 334,436 = 334,436 : x
  2. Step 2: Convert to fraction form
    153,762/334,436 = 334,436/x
  3. Step 3: Cross multiply
    153,762x = 334,436 × 334,436
  4. Step 4: Simplify right side
    153,762x = 111,847,438,096
  5. Step 5: Solve for x
    x = 111,847,438,096/153,762
  6. Step 6: Final answer
    x = 727,406.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.