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Finding the Third Proportional to 245,871 and 367,443

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Solution

The third proportional to 245,871 and 367,443 is: 549,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,871 : 367,443 = 367,443 : x
  2. Step 2: Convert to fraction form
    245,871/367,443 = 367,443/x
  3. Step 3: Cross multiply
    245,871x = 367,443 × 367,443
  4. Step 4: Simplify right side
    245,871x = 135,014,358,249
  5. Step 5: Solve for x
    x = 135,014,358,249/245,871
  6. Step 6: Final answer
    x = 549,126.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.