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Finding the Third Proportional to 136,838 and 294,050

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Solution

The third proportional to 136,838 and 294,050 is: 631,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,838 : 294,050 = 294,050 : x
  2. Step 2: Convert to fraction form
    136,838/294,050 = 294,050/x
  3. Step 3: Cross multiply
    136,838x = 294,050 × 294,050
  4. Step 4: Simplify right side
    136,838x = 86,465,402,500
  5. Step 5: Solve for x
    x = 86,465,402,500/136,838
  6. Step 6: Final answer
    x = 631,881.51

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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.