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Finding the Third Proportional to 120,598.88 and 177,284.81

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Solution

The third proportional to 120,598.88 and 177,284.81 is: 260,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,598.88 : 177,284.81 = 177,284.81 : x
  2. Step 2: Convert to fraction form
    120,598.88/177,284.81 = 177,284.81/x
  3. Step 3: Cross multiply
    120,598.88x = 177,284.81 × 177,284.81
  4. Step 4: Simplify right side
    120,598.88x = 31,429,904,743.16
  5. Step 5: Solve for x
    x = 31,429,904,743.16/120,598.88
  6. Step 6: Final answer
    x = 260,615.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.