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Finding the Third Proportional to 146,200.10 and 315,004.89

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Solution

The third proportional to 146,200.10 and 315,004.89 is: 678,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,200.10 : 315,004.89 = 315,004.89 : x
  2. Step 2: Convert to fraction form
    146,200.10/315,004.89 = 315,004.89/x
  3. Step 3: Cross multiply
    146,200.10x = 315,004.89 × 315,004.89
  4. Step 4: Simplify right side
    146,200.10x = 99,228,078,656.70
  5. Step 5: Solve for x
    x = 99,228,078,656.70/146,200.10
  6. Step 6: Final answer
    x = 678,714.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.