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Finding the Third Proportional to 238,081.50 and 369,055.13

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Solution

The third proportional to 238,081.50 and 369,055.13 is: 572,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,081.50 : 369,055.13 = 369,055.13 : x
  2. Step 2: Convert to fraction form
    238,081.50/369,055.13 = 369,055.13/x
  3. Step 3: Cross multiply
    238,081.50x = 369,055.13 × 369,055.13
  4. Step 4: Simplify right side
    238,081.50x = 136,201,685,288.77
  5. Step 5: Solve for x
    x = 136,201,685,288.77/238,081.50
  6. Step 6: Final answer
    x = 572,080.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.