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Finding the Third Proportional to 210,174 and 455,965.50

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Solution

The third proportional to 210,174 and 455,965.50 is: 989,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,174 : 455,965.50 = 455,965.50 : x
  2. Step 2: Convert to fraction form
    210,174/455,965.50 = 455,965.50/x
  3. Step 3: Cross multiply
    210,174x = 455,965.50 × 455,965.50
  4. Step 4: Simplify right side
    210,174x = 207,904,537,190.25
  5. Step 5: Solve for x
    x = 207,904,537,190.25/210,174
  6. Step 6: Final answer
    x = 989,201.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.