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Finding the Third Proportional to 153,072.91 and 332,708.77

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Solution

The third proportional to 153,072.91 and 332,708.77 is: 723,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,072.91 : 332,708.77 = 332,708.77 : x
  2. Step 2: Convert to fraction form
    153,072.91/332,708.77 = 332,708.77/x
  3. Step 3: Cross multiply
    153,072.91x = 332,708.77 × 332,708.77
  4. Step 4: Simplify right side
    153,072.91x = 110,695,122,723.71
  5. Step 5: Solve for x
    x = 110,695,122,723.71/153,072.91
  6. Step 6: Final answer
    x = 723,152.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.