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Finding the Third Proportional to 147,924.56 and 319,505.06

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Solution

The third proportional to 147,924.56 and 319,505.06 is: 690,105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,924.56 : 319,505.06 = 319,505.06 : x
  2. Step 2: Convert to fraction form
    147,924.56/319,505.06 = 319,505.06/x
  3. Step 3: Cross multiply
    147,924.56x = 319,505.06 × 319,505.06
  4. Step 4: Simplify right side
    147,924.56x = 102,083,484,963.13
  5. Step 5: Solve for x
    x = 102,083,484,963.13/147,924.56
  6. Step 6: Final answer
    x = 690,105.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.