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Finding the Third Proportional to 175,901.63 and 192,304.13

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Solution

The third proportional to 175,901.63 and 192,304.13 is: 210,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,901.63 : 192,304.13 = 192,304.13 : x
  2. Step 2: Convert to fraction form
    175,901.63/192,304.13 = 192,304.13/x
  3. Step 3: Cross multiply
    175,901.63x = 192,304.13 × 192,304.13
  4. Step 4: Simplify right side
    175,901.63x = 36,980,876,492.02
  5. Step 5: Solve for x
    x = 36,980,876,492.02/175,901.63
  6. Step 6: Final answer
    x = 210,236.13

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.