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Finding the Third Proportional to 249,198 and 372,765

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Solution

The third proportional to 249,198 and 372,765 is: 557,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,198 : 372,765 = 372,765 : x
  2. Step 2: Convert to fraction form
    249,198/372,765 = 372,765/x
  3. Step 3: Cross multiply
    249,198x = 372,765 × 372,765
  4. Step 4: Simplify right side
    249,198x = 138,953,745,225
  5. Step 5: Solve for x
    x = 138,953,745,225/249,198
  6. Step 6: Final answer
    x = 557,603.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.