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Finding the Third Proportional to 136,382 and 183,455.50

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Solution

The third proportional to 136,382 and 183,455.50 is: 246,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,382 : 183,455.50 = 183,455.50 : x
  2. Step 2: Convert to fraction form
    136,382/183,455.50 = 183,455.50/x
  3. Step 3: Cross multiply
    136,382x = 183,455.50 × 183,455.50
  4. Step 4: Simplify right side
    136,382x = 33,655,920,480.25
  5. Step 5: Solve for x
    x = 33,655,920,480.25/136,382
  6. Step 6: Final answer
    x = 246,776.85

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.