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Finding the Third Proportional to 128,304 and 201,552

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Solution

The third proportional to 128,304 and 201,552 is: 316,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,304 : 201,552 = 201,552 : x
  2. Step 2: Convert to fraction form
    128,304/201,552 = 201,552/x
  3. Step 3: Cross multiply
    128,304x = 201,552 × 201,552
  4. Step 4: Simplify right side
    128,304x = 40,623,208,704
  5. Step 5: Solve for x
    x = 40,623,208,704/128,304
  6. Step 6: Final answer
    x = 316,616.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.