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Finding the Third Proportional to 136,460 and 294,628

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Solution

The third proportional to 136,460 and 294,628 is: 636,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,460 : 294,628 = 294,628 : x
  2. Step 2: Convert to fraction form
    136,460/294,628 = 294,628/x
  3. Step 3: Cross multiply
    136,460x = 294,628 × 294,628
  4. Step 4: Simplify right side
    136,460x = 86,805,658,384
  5. Step 5: Solve for x
    x = 86,805,658,384/136,460
  6. Step 6: Final answer
    x = 636,125.30

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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.