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Finding the Third Proportional to 136,693.13 and 294,340.50

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Solution

The third proportional to 136,693.13 and 294,340.50 is: 633,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,693.13 : 294,340.50 = 294,340.50 : x
  2. Step 2: Convert to fraction form
    136,693.13/294,340.50 = 294,340.50/x
  3. Step 3: Cross multiply
    136,693.13x = 294,340.50 × 294,340.50
  4. Step 4: Simplify right side
    136,693.13x = 86,636,329,940.25
  5. Step 5: Solve for x
    x = 86,636,329,940.25/136,693.13
  6. Step 6: Final answer
    x = 633,801.66

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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.