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Finding the Third Proportional to 182,776 and 400,860.50

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Solution

The third proportional to 182,776 and 400,860.50 is: 879,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,776 : 400,860.50 = 400,860.50 : x
  2. Step 2: Convert to fraction form
    182,776/400,860.50 = 400,860.50/x
  3. Step 3: Cross multiply
    182,776x = 400,860.50 × 400,860.50
  4. Step 4: Simplify right side
    182,776x = 160,689,140,460.25
  5. Step 5: Solve for x
    x = 160,689,140,460.25/182,776
  6. Step 6: Final answer
    x = 879,158.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.