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Finding the Third Proportional to 178,490 and 388,966

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Solution

The third proportional to 178,490 and 388,966 is: 847,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,490 : 388,966 = 388,966 : x
  2. Step 2: Convert to fraction form
    178,490/388,966 = 388,966/x
  3. Step 3: Cross multiply
    178,490x = 388,966 × 388,966
  4. Step 4: Simplify right side
    178,490x = 151,294,549,156
  5. Step 5: Solve for x
    x = 151,294,549,156/178,490
  6. Step 6: Final answer
    x = 847,636.00

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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.