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Finding the Third Proportional to 178,714.69 and 348,450.19

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Solution

The third proportional to 178,714.69 and 348,450.19 is: 679,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,714.69 : 348,450.19 = 348,450.19 : x
  2. Step 2: Convert to fraction form
    178,714.69/348,450.19 = 348,450.19/x
  3. Step 3: Cross multiply
    178,714.69x = 348,450.19 × 348,450.19
  4. Step 4: Simplify right side
    178,714.69x = 121,417,533,168.79
  5. Step 5: Solve for x
    x = 121,417,533,168.79/178,714.69
  6. Step 6: Final answer
    x = 679,393.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.