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Finding the Third Proportional to 162,567 and 215,763.75

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Solution

The third proportional to 162,567 and 215,763.75 is: 286,368.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,567 : 215,763.75 = 215,763.75 : x
  2. Step 2: Convert to fraction form
    162,567/215,763.75 = 215,763.75/x
  3. Step 3: Cross multiply
    162,567x = 215,763.75 × 215,763.75
  4. Step 4: Simplify right side
    162,567x = 46,553,995,814.06
  5. Step 5: Solve for x
    x = 46,553,995,814.06/162,567
  6. Step 6: Final answer
    x = 286,368.06

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.