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Finding the Third Proportional to 228,025.13 and 357,696.84

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Solution

The third proportional to 228,025.13 and 357,696.84 is: 561,109.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,025.13 : 357,696.84 = 357,696.84 : x
  2. Step 2: Convert to fraction form
    228,025.13/357,696.84 = 357,696.84/x
  3. Step 3: Cross multiply
    228,025.13x = 357,696.84 × 357,696.84
  4. Step 4: Simplify right side
    228,025.13x = 127,947,032,028.71
  5. Step 5: Solve for x
    x = 127,947,032,028.71/228,025.13
  6. Step 6: Final answer
    x = 561,109.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.