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Finding the Third Proportional to 221,528 and 334,936

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Solution

The third proportional to 221,528 and 334,936 is: 506,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,528 : 334,936 = 334,936 : x
  2. Step 2: Convert to fraction form
    221,528/334,936 = 334,936/x
  3. Step 3: Cross multiply
    221,528x = 334,936 × 334,936
  4. Step 4: Simplify right side
    221,528x = 112,182,124,096
  5. Step 5: Solve for x
    x = 112,182,124,096/221,528
  6. Step 6: Final answer
    x = 506,401.56

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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.