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Finding the Third Proportional to 238,870.69 and 361,783.13

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Solution

The third proportional to 238,870.69 and 361,783.13 is: 547,940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,870.69 : 361,783.13 = 361,783.13 : x
  2. Step 2: Convert to fraction form
    238,870.69/361,783.13 = 361,783.13/x
  3. Step 3: Cross multiply
    238,870.69x = 361,783.13 × 361,783.13
  4. Step 4: Simplify right side
    238,870.69x = 130,887,029,534.77
  5. Step 5: Solve for x
    x = 130,887,029,534.77/238,870.69
  6. Step 6: Final answer
    x = 547,940.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.