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Finding the Third Proportional to 70,248 and 165,823.50

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Solution

The third proportional to 70,248 and 165,823.50 is: 391,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,248 : 165,823.50 = 165,823.50 : x
  2. Step 2: Convert to fraction form
    70,248/165,823.50 = 165,823.50/x
  3. Step 3: Cross multiply
    70,248x = 165,823.50 × 165,823.50
  4. Step 4: Simplify right side
    70,248x = 27,497,433,152.25
  5. Step 5: Solve for x
    x = 27,497,433,152.25/70,248
  6. Step 6: Final answer
    x = 391,433.68

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.