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Finding the Third Proportional to 136,928 and 294,292

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Solution

The third proportional to 136,928 and 294,292 is: 632,506.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,928 : 294,292 = 294,292 : x
  2. Step 2: Convert to fraction form
    136,928/294,292 = 294,292/x
  3. Step 3: Cross multiply
    136,928x = 294,292 × 294,292
  4. Step 4: Simplify right side
    136,928x = 86,607,781,264
  5. Step 5: Solve for x
    x = 86,607,781,264/136,928
  6. Step 6: Final answer
    x = 632,506.00

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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.