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Finding the Third Proportional to 235,028.25 and 358,050.38

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Solution

The third proportional to 235,028.25 and 358,050.38 is: 545,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,028.25 : 358,050.38 = 358,050.38 : x
  2. Step 2: Convert to fraction form
    235,028.25/358,050.38 = 358,050.38/x
  3. Step 3: Cross multiply
    235,028.25x = 358,050.38 × 358,050.38
  4. Step 4: Simplify right side
    235,028.25x = 128,200,071,037.64
  5. Step 5: Solve for x
    x = 128,200,071,037.64/235,028.25
  6. Step 6: Final answer
    x = 545,466.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.