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Finding the Third Proportional to 155,816 and 334,905

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Solution

The third proportional to 155,816 and 334,905 is: 719,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,816 : 334,905 = 334,905 : x
  2. Step 2: Convert to fraction form
    155,816/334,905 = 334,905/x
  3. Step 3: Cross multiply
    155,816x = 334,905 × 334,905
  4. Step 4: Simplify right side
    155,816x = 112,161,359,025
  5. Step 5: Solve for x
    x = 112,161,359,025/155,816
  6. Step 6: Final answer
    x = 719,832.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.