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Finding the Third Proportional to 175,402.13 and 282,482.44

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Solution

The third proportional to 175,402.13 and 282,482.44 is: 454,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,402.13 : 282,482.44 = 282,482.44 : x
  2. Step 2: Convert to fraction form
    175,402.13/282,482.44 = 282,482.44/x
  3. Step 3: Cross multiply
    175,402.13x = 282,482.44 × 282,482.44
  4. Step 4: Simplify right side
    175,402.13x = 79,796,327,495.94
  5. Step 5: Solve for x
    x = 79,796,327,495.94/175,402.13
  6. Step 6: Final answer
    x = 454,933.64

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.