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Finding the Third Proportional to 242,809.50 and 495,249

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Solution

The third proportional to 242,809.50 and 495,249 is: 1,010,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,809.50 : 495,249 = 495,249 : x
  2. Step 2: Convert to fraction form
    242,809.50/495,249 = 495,249/x
  3. Step 3: Cross multiply
    242,809.50x = 495,249 × 495,249
  4. Step 4: Simplify right side
    242,809.50x = 245,271,572,001
  5. Step 5: Solve for x
    x = 245,271,572,001/242,809.50
  6. Step 6: Final answer
    x = 1,010,139.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.