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Finding the Third Proportional to 242,154 and 495,000

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Solution

The third proportional to 242,154 and 495,000 is: 1,011,856.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,154 : 495,000 = 495,000 : x
  2. Step 2: Convert to fraction form
    242,154/495,000 = 495,000/x
  3. Step 3: Cross multiply
    242,154x = 495,000 × 495,000
  4. Step 4: Simplify right side
    242,154x = 245,025,000,000
  5. Step 5: Solve for x
    x = 245,025,000,000/242,154
  6. Step 6: Final answer
    x = 1,011,856.09

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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.