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Finding the Third Proportional to 235,093.50 and 358,148.25

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Solution

The third proportional to 235,093.50 and 358,148.25 is: 545,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,093.50 : 358,148.25 = 358,148.25 : x
  2. Step 2: Convert to fraction form
    235,093.50/358,148.25 = 358,148.25/x
  3. Step 3: Cross multiply
    235,093.50x = 358,148.25 × 358,148.25
  4. Step 4: Simplify right side
    235,093.50x = 128,270,168,978.06
  5. Step 5: Solve for x
    x = 128,270,168,978.06/235,093.50
  6. Step 6: Final answer
    x = 545,613.42

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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.