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Finding the Third Proportional to 175,044 and 374,995.50

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Solution

The third proportional to 175,044 and 374,995.50 is: 803,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,044 : 374,995.50 = 374,995.50 : x
  2. Step 2: Convert to fraction form
    175,044/374,995.50 = 374,995.50/x
  3. Step 3: Cross multiply
    175,044x = 374,995.50 × 374,995.50
  4. Step 4: Simplify right side
    175,044x = 140,621,625,020.25
  5. Step 5: Solve for x
    x = 140,621,625,020.25/175,044
  6. Step 6: Final answer
    x = 803,350.16

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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.