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Finding the Third Proportional to 139,746.94 and 301,816.13

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Solution

The third proportional to 139,746.94 and 301,816.13 is: 651,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,746.94 : 301,816.13 = 301,816.13 : x
  2. Step 2: Convert to fraction form
    139,746.94/301,816.13 = 301,816.13/x
  3. Step 3: Cross multiply
    139,746.94x = 301,816.13 × 301,816.13
  4. Step 4: Simplify right side
    139,746.94x = 91,092,973,310.02
  5. Step 5: Solve for x
    x = 91,092,973,310.02/139,746.94
  6. Step 6: Final answer
    x = 651,842.36

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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.