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Finding the Third Proportional to 136,656 and 293,952

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Solution

The third proportional to 136,656 and 293,952 is: 632,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,656 : 293,952 = 293,952 : x
  2. Step 2: Convert to fraction form
    136,656/293,952 = 293,952/x
  3. Step 3: Cross multiply
    136,656x = 293,952 × 293,952
  4. Step 4: Simplify right side
    136,656x = 86,407,778,304
  5. Step 5: Solve for x
    x = 86,407,778,304/136,656
  6. Step 6: Final answer
    x = 632,301.39

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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.