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Finding the Third Proportional to 184,014 and 272,011

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Solution

The third proportional to 184,014 and 272,011 is: 402,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,014 : 272,011 = 272,011 : x
  2. Step 2: Convert to fraction form
    184,014/272,011 = 272,011/x
  3. Step 3: Cross multiply
    184,014x = 272,011 × 272,011
  4. Step 4: Simplify right side
    184,014x = 73,989,984,121
  5. Step 5: Solve for x
    x = 73,989,984,121/184,014
  6. Step 6: Final answer
    x = 402,088.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.