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Finding the Third Proportional to 178,319 and 388,624

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Solution

The third proportional to 178,319 and 388,624 is: 846,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,319 : 388,624 = 388,624 : x
  2. Step 2: Convert to fraction form
    178,319/388,624 = 388,624/x
  3. Step 3: Cross multiply
    178,319x = 388,624 × 388,624
  4. Step 4: Simplify right side
    178,319x = 151,028,613,376
  5. Step 5: Solve for x
    x = 151,028,613,376/178,319
  6. Step 6: Final answer
    x = 846,957.49

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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.