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Finding the Third Proportional to 136,836 and 294,046

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Solution

The third proportional to 136,836 and 294,046 is: 631,873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,836 : 294,046 = 294,046 : x
  2. Step 2: Convert to fraction form
    136,836/294,046 = 294,046/x
  3. Step 3: Cross multiply
    136,836x = 294,046 × 294,046
  4. Step 4: Simplify right side
    136,836x = 86,463,050,116
  5. Step 5: Solve for x
    x = 86,463,050,116/136,836
  6. Step 6: Final answer
    x = 631,873.56

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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.