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Finding the Third Proportional to 178,696.13 and 383,294.53

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Solution

The third proportional to 178,696.13 and 383,294.53 is: 822,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,696.13 : 383,294.53 = 383,294.53 : x
  2. Step 2: Convert to fraction form
    178,696.13/383,294.53 = 383,294.53/x
  3. Step 3: Cross multiply
    178,696.13x = 383,294.53 × 383,294.53
  4. Step 4: Simplify right side
    178,696.13x = 146,914,697,686.16
  5. Step 5: Solve for x
    x = 146,914,697,686.16/178,696.13
  6. Step 6: Final answer
    x = 822,148.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.