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Finding the Third Proportional to 235,206.75 and 358,341.75

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Solution

The third proportional to 235,206.75 and 358,341.75 is: 545,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,206.75 : 358,341.75 = 358,341.75 : x
  2. Step 2: Convert to fraction form
    235,206.75/358,341.75 = 358,341.75/x
  3. Step 3: Cross multiply
    235,206.75x = 358,341.75 × 358,341.75
  4. Step 4: Simplify right side
    235,206.75x = 128,408,809,793.06
  5. Step 5: Solve for x
    x = 128,408,809,793.06/235,206.75
  6. Step 6: Final answer
    x = 545,940.16

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