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Finding the Third Proportional to 158,068.65 and 241,062.64

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Solution

The third proportional to 158,068.65 and 241,062.64 is: 367,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,068.65 : 241,062.64 = 241,062.64 : x
  2. Step 2: Convert to fraction form
    158,068.65/241,062.64 = 241,062.64/x
  3. Step 3: Cross multiply
    158,068.65x = 241,062.64 × 241,062.64
  4. Step 4: Simplify right side
    158,068.65x = 58,111,198,588.40
  5. Step 5: Solve for x
    x = 58,111,198,588.40/158,068.65
  6. Step 6: Final answer
    x = 367,632.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.