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Finding the Third Proportional to 174,045 and 381,691.50

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Solution

The third proportional to 174,045 and 381,691.50 is: 837,073.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,045 : 381,691.50 = 381,691.50 : x
  2. Step 2: Convert to fraction form
    174,045/381,691.50 = 381,691.50/x
  3. Step 3: Cross multiply
    174,045x = 381,691.50 × 381,691.50
  4. Step 4: Simplify right side
    174,045x = 145,688,401,172.25
  5. Step 5: Solve for x
    x = 145,688,401,172.25/174,045
  6. Step 6: Final answer
    x = 837,073.18

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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.