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Finding the Third Proportional to 175,485.75 and 282,610.13

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Solution

The third proportional to 175,485.75 and 282,610.13 is: 455,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,485.75 : 282,610.13 = 282,610.13 : x
  2. Step 2: Convert to fraction form
    175,485.75/282,610.13 = 282,610.13/x
  3. Step 3: Cross multiply
    175,485.75x = 282,610.13 × 282,610.13
  4. Step 4: Simplify right side
    175,485.75x = 79,868,482,752.52
  5. Step 5: Solve for x
    x = 79,868,482,752.52/175,485.75
  6. Step 6: Final answer
    x = 455,128.02

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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.