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Finding the Third Proportional to 84,167 and 180,156.50

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Solution

The third proportional to 84,167 and 180,156.50 is: 385,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,167 : 180,156.50 = 180,156.50 : x
  2. Step 2: Convert to fraction form
    84,167/180,156.50 = 180,156.50/x
  3. Step 3: Cross multiply
    84,167x = 180,156.50 × 180,156.50
  4. Step 4: Simplify right side
    84,167x = 32,456,364,492.25
  5. Step 5: Solve for x
    x = 32,456,364,492.25/84,167
  6. Step 6: Final answer
    x = 385,618.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.