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Finding the Third Proportional to 250,114.50 and 374,484.38

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Solution

The third proportional to 250,114.50 and 374,484.38 is: 560,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,114.50 : 374,484.38 = 374,484.38 : x
  2. Step 2: Convert to fraction form
    250,114.50/374,484.38 = 374,484.38/x
  3. Step 3: Cross multiply
    250,114.50x = 374,484.38 × 374,484.38
  4. Step 4: Simplify right side
    250,114.50x = 140,238,547,119.14
  5. Step 5: Solve for x
    x = 140,238,547,119.14/250,114.50
  6. Step 6: Final answer
    x = 560,697.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.