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Finding the Third Proportional to 201,540 and 304,578

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Solution

The third proportional to 201,540 and 304,578 is: 460,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,540 : 304,578 = 304,578 : x
  2. Step 2: Convert to fraction form
    201,540/304,578 = 304,578/x
  3. Step 3: Cross multiply
    201,540x = 304,578 × 304,578
  4. Step 4: Simplify right side
    201,540x = 92,767,758,084
  5. Step 5: Solve for x
    x = 92,767,758,084/201,540
  6. Step 6: Final answer
    x = 460,294.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.