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Finding the Third Proportional to 192,528 and 297,536

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Solution

The third proportional to 192,528 and 297,536 is: 459,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,528 : 297,536 = 297,536 : x
  2. Step 2: Convert to fraction form
    192,528/297,536 = 297,536/x
  3. Step 3: Cross multiply
    192,528x = 297,536 × 297,536
  4. Step 4: Simplify right side
    192,528x = 88,527,671,296
  5. Step 5: Solve for x
    x = 88,527,671,296/192,528
  6. Step 6: Final answer
    x = 459,817.12

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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.