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Finding the Third Proportional to 154,164 and 334,534

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Solution

The third proportional to 154,164 and 334,534 is: 725,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,164 : 334,534 = 334,534 : x
  2. Step 2: Convert to fraction form
    154,164/334,534 = 334,534/x
  3. Step 3: Cross multiply
    154,164x = 334,534 × 334,534
  4. Step 4: Simplify right side
    154,164x = 111,912,997,156
  5. Step 5: Solve for x
    x = 111,912,997,156/154,164
  6. Step 6: Final answer
    x = 725,934.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.