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Finding the Third Proportional to 145,783.13 and 313,713

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Solution

The third proportional to 145,783.13 and 313,713 is: 675,083.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,783.13 : 313,713 = 313,713 : x
  2. Step 2: Convert to fraction form
    145,783.13/313,713 = 313,713/x
  3. Step 3: Cross multiply
    145,783.13x = 313,713 × 313,713
  4. Step 4: Simplify right side
    145,783.13x = 98,415,846,369
  5. Step 5: Solve for x
    x = 98,415,846,369/145,783.13
  6. Step 6: Final answer
    x = 675,083.94

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Why These Related Problems?

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