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Finding the Third Proportional to 156,937 and 342,304

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Solution

The third proportional to 156,937 and 342,304 is: 746,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,937 : 342,304 = 342,304 : x
  2. Step 2: Convert to fraction form
    156,937/342,304 = 342,304/x
  3. Step 3: Cross multiply
    156,937x = 342,304 × 342,304
  4. Step 4: Simplify right side
    156,937x = 117,172,028,416
  5. Step 5: Solve for x
    x = 117,172,028,416/156,937
  6. Step 6: Final answer
    x = 746,618.25

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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.