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Finding the Third Proportional to 130,329.75 and 304,489.13

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Solution

The third proportional to 130,329.75 and 304,489.13 is: 711,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,329.75 : 304,489.13 = 304,489.13 : x
  2. Step 2: Convert to fraction form
    130,329.75/304,489.13 = 304,489.13/x
  3. Step 3: Cross multiply
    130,329.75x = 304,489.13 × 304,489.13
  4. Step 4: Simplify right side
    130,329.75x = 92,713,627,243.27
  5. Step 5: Solve for x
    x = 92,713,627,243.27/130,329.75
  6. Step 6: Final answer
    x = 711,377.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.