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Finding the Third Proportional to 245,286.75 and 359,854

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Solution

The third proportional to 245,286.75 and 359,854 is: 527,932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,286.75 : 359,854 = 359,854 : x
  2. Step 2: Convert to fraction form
    245,286.75/359,854 = 359,854/x
  3. Step 3: Cross multiply
    245,286.75x = 359,854 × 359,854
  4. Step 4: Simplify right side
    245,286.75x = 129,494,901,316
  5. Step 5: Solve for x
    x = 129,494,901,316/245,286.75
  6. Step 6: Final answer
    x = 527,932.72

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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.