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Finding the Third Proportional to 145,914.75 and 319,507.88

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Solution

The third proportional to 145,914.75 and 319,507.88 is: 699,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,914.75 : 319,507.88 = 319,507.88 : x
  2. Step 2: Convert to fraction form
    145,914.75/319,507.88 = 319,507.88/x
  3. Step 3: Cross multiply
    145,914.75x = 319,507.88 × 319,507.88
  4. Step 4: Simplify right side
    145,914.75x = 102,085,282,187.02
  5. Step 5: Solve for x
    x = 102,085,282,187.02/145,914.75
  6. Step 6: Final answer
    x = 699,622.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.