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Finding the Third Proportional to 149,048 and 221,547

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Solution

The third proportional to 149,048 and 221,547 is: 329,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,048 : 221,547 = 221,547 : x
  2. Step 2: Convert to fraction form
    149,048/221,547 = 221,547/x
  3. Step 3: Cross multiply
    149,048x = 221,547 × 221,547
  4. Step 4: Simplify right side
    149,048x = 49,083,073,209
  5. Step 5: Solve for x
    x = 49,083,073,209/149,048
  6. Step 6: Final answer
    x = 329,310.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.