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Finding the Third Proportional to 162,758.25 and 248,827.50

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Solution

The third proportional to 162,758.25 and 248,827.50 is: 380,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,758.25 : 248,827.50 = 248,827.50 : x
  2. Step 2: Convert to fraction form
    162,758.25/248,827.50 = 248,827.50/x
  3. Step 3: Cross multiply
    162,758.25x = 248,827.50 × 248,827.50
  4. Step 4: Simplify right side
    162,758.25x = 61,915,124,756.25
  5. Step 5: Solve for x
    x = 61,915,124,756.25/162,758.25
  6. Step 6: Final answer
    x = 380,411.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.