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Finding the Third Proportional to 227,707.88 and 361,913.06

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Solution

The third proportional to 227,707.88 and 361,913.06 is: 575,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,707.88 : 361,913.06 = 361,913.06 : x
  2. Step 2: Convert to fraction form
    227,707.88/361,913.06 = 361,913.06/x
  3. Step 3: Cross multiply
    227,707.88x = 361,913.06 × 361,913.06
  4. Step 4: Simplify right side
    227,707.88x = 130,981,064,808.13
  5. Step 5: Solve for x
    x = 130,981,064,808.13/227,707.88
  6. Step 6: Final answer
    x = 575,215.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.