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Finding the Third Proportional to 201,946 and 313,574

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Solution

The third proportional to 201,946 and 313,574 is: 486,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,946 : 313,574 = 313,574 : x
  2. Step 2: Convert to fraction form
    201,946/313,574 = 313,574/x
  3. Step 3: Cross multiply
    201,946x = 313,574 × 313,574
  4. Step 4: Simplify right side
    201,946x = 98,328,653,476
  5. Step 5: Solve for x
    x = 98,328,653,476/201,946
  6. Step 6: Final answer
    x = 486,905.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.