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Finding the Third Proportional to 151,718.06 and 227,966.91

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Solution

The third proportional to 151,718.06 and 227,966.91 is: 342,536.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,718.06 : 227,966.91 = 227,966.91 : x
  2. Step 2: Convert to fraction form
    151,718.06/227,966.91 = 227,966.91/x
  3. Step 3: Cross multiply
    151,718.06x = 227,966.91 × 227,966.91
  4. Step 4: Simplify right side
    151,718.06x = 51,968,910,345.20
  5. Step 5: Solve for x
    x = 51,968,910,345.20/151,718.06
  6. Step 6: Final answer
    x = 342,536.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.