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Finding the Third Proportional to 158,015.25 and 293,613.75

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Solution

The third proportional to 158,015.25 and 293,613.75 is: 545,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,015.25 : 293,613.75 = 293,613.75 : x
  2. Step 2: Convert to fraction form
    158,015.25/293,613.75 = 293,613.75/x
  3. Step 3: Cross multiply
    158,015.25x = 293,613.75 × 293,613.75
  4. Step 4: Simplify right side
    158,015.25x = 86,209,034,189.06
  5. Step 5: Solve for x
    x = 86,209,034,189.06/158,015.25
  6. Step 6: Final answer
    x = 545,574.14

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.